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Finding the Third Proportional to 1,781,352 and 2,687,256

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Solution

The third proportional to 1,781,352 and 2,687,256 is: 4,053,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,352 : 2,687,256 = 2,687,256 : x
  2. Step 2: Convert to fraction form
    1,781,352/2,687,256 = 2,687,256/x
  3. Step 3: Cross multiply
    1,781,352x = 2,687,256 × 2,687,256
  4. Step 4: Simplify right side
    1,781,352x = 7,221,344,809,536
  5. Step 5: Solve for x
    x = 7,221,344,809,536/1,781,352
  6. Step 6: Final answer
    x = 4,053,856.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.