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Finding the Third Proportional to 761,425,338 and 1,027,341,564

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Solution

The third proportional to 761,425,338 and 1,027,341,564 is: 1,386,124,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,425,338 : 1,027,341,564 = 1,027,341,564 : x
  2. Step 2: Convert to fraction form
    761,425,338/1,027,341,564 = 1,027,341,564/x
  3. Step 3: Cross multiply
    761,425,338x = 1,027,341,564 × 1,027,341,564
  4. Step 4: Simplify right side
    761,425,338x = 1,055,430,689,121,966,080
  5. Step 5: Solve for x
    x = 1,055,430,689,121,966,080/761,425,338
  6. Step 6: Final answer
    x = 1,386,124,990.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.