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Finding the Third Proportional to 897,448,349 and 1,378,590,546

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Solution

The third proportional to 897,448,349 and 1,378,590,546 is: 2,117,683,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,349 : 1,378,590,546 = 1,378,590,546 : x
  2. Step 2: Convert to fraction form
    897,448,349/1,378,590,546 = 1,378,590,546/x
  3. Step 3: Cross multiply
    897,448,349x = 1,378,590,546 × 1,378,590,546
  4. Step 4: Simplify right side
    897,448,349x = 1,900,511,893,520,578,048
  5. Step 5: Solve for x
    x = 1,900,511,893,520,578,048/897,448,349
  6. Step 6: Final answer
    x = 2,117,683,870.76

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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.