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Finding the Third Proportional to 779,988,410 and 1,587,217,272

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Solution

The third proportional to 779,988,410 and 1,587,217,272 is: 3,229,866,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,988,410 : 1,587,217,272 = 1,587,217,272 : x
  2. Step 2: Convert to fraction form
    779,988,410/1,587,217,272 = 1,587,217,272/x
  3. Step 3: Cross multiply
    779,988,410x = 1,587,217,272 × 1,587,217,272
  4. Step 4: Simplify right side
    779,988,410x = 2,519,258,668,535,121,920
  5. Step 5: Solve for x
    x = 2,519,258,668,535,121,920/779,988,410
  6. Step 6: Final answer
    x = 3,229,866,798.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.