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Finding the Third Proportional to 713,689 and 1,569,325

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Solution

The third proportional to 713,689 and 1,569,325 is: 3,450,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,689 : 1,569,325 = 1,569,325 : x
  2. Step 2: Convert to fraction form
    713,689/1,569,325 = 1,569,325/x
  3. Step 3: Cross multiply
    713,689x = 1,569,325 × 1,569,325
  4. Step 4: Simplify right side
    713,689x = 2,462,780,955,625
  5. Step 5: Solve for x
    x = 2,462,780,955,625/713,689
  6. Step 6: Final answer
    x = 3,450,776.12

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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.