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Finding the Third Proportional to 718,561 and 1,569,366

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Solution

The third proportional to 718,561 and 1,569,366 is: 3,427,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,561 : 1,569,366 = 1,569,366 : x
  2. Step 2: Convert to fraction form
    718,561/1,569,366 = 1,569,366/x
  3. Step 3: Cross multiply
    718,561x = 1,569,366 × 1,569,366
  4. Step 4: Simplify right side
    718,561x = 2,462,909,641,956
  5. Step 5: Solve for x
    x = 2,462,909,641,956/718,561
  6. Step 6: Final answer
    x = 3,427,558.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.