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Finding the Third Proportional to 713,714 and 1,569,374

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Solution

The third proportional to 713,714 and 1,569,374 is: 3,450,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,714 : 1,569,374 = 1,569,374 : x
  2. Step 2: Convert to fraction form
    713,714/1,569,374 = 1,569,374/x
  3. Step 3: Cross multiply
    713,714x = 1,569,374 × 1,569,374
  4. Step 4: Simplify right side
    713,714x = 2,462,934,751,876
  5. Step 5: Solve for x
    x = 2,462,934,751,876/713,714
  6. Step 6: Final answer
    x = 3,450,870.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.