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Finding the Third Proportional to 718,565 and 1,569,374

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Solution

The third proportional to 718,565 and 1,569,374 is: 3,427,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,565 : 1,569,374 = 1,569,374 : x
  2. Step 2: Convert to fraction form
    718,565/1,569,374 = 1,569,374/x
  3. Step 3: Cross multiply
    718,565x = 1,569,374 × 1,569,374
  4. Step 4: Simplify right side
    718,565x = 2,462,934,751,876
  5. Step 5: Solve for x
    x = 2,462,934,751,876/718,565
  6. Step 6: Final answer
    x = 3,427,574.06

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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.