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Finding the Third Proportional to 897,448,371.75 and 1,378,590,580.69

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Solution

The third proportional to 897,448,371.75 and 1,378,590,580.69 is: 2,117,683,923.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,448,371.75 : 1,378,590,580.69 = 1,378,590,580.69 : x
  2. Step 2: Convert to fraction form
    897,448,371.75/1,378,590,580.69 = 1,378,590,580.69/x
  3. Step 3: Cross multiply
    897,448,371.75x = 1,378,590,580.69 × 1,378,590,580.69
  4. Step 4: Simplify right side
    897,448,371.75x = 1,900,511,989,160,298,496
  5. Step 5: Solve for x
    x = 1,900,511,989,160,298,496/897,448,371.75
  6. Step 6: Final answer
    x = 2,117,683,923.65

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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.