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Finding the Third Proportional to 897,448,349.25 and 1,378,590,548.06

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Solution

The third proportional to 897,448,349.25 and 1,378,590,548.06 is: 2,117,683,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,349.25 : 1,378,590,548.06 = 1,378,590,548.06 : x
  2. Step 2: Convert to fraction form
    897,448,349.25/1,378,590,548.06 = 1,378,590,548.06/x
  3. Step 3: Cross multiply
    897,448,349.25x = 1,378,590,548.06 × 1,378,590,548.06
  4. Step 4: Simplify right side
    897,448,349.25x = 1,900,511,899,207,264,000
  5. Step 5: Solve for x
    x = 1,900,511,899,207,264,000/897,448,349.25
  6. Step 6: Final answer
    x = 2,117,683,876.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.