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Finding the Third Proportional to 713,684 and 1,569,316

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Solution

The third proportional to 713,684 and 1,569,316 is: 3,450,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,684 : 1,569,316 = 1,569,316 : x
  2. Step 2: Convert to fraction form
    713,684/1,569,316 = 1,569,316/x
  3. Step 3: Cross multiply
    713,684x = 1,569,316 × 1,569,316
  4. Step 4: Simplify right side
    713,684x = 2,462,752,707,856
  5. Step 5: Solve for x
    x = 2,462,752,707,856/713,684
  6. Step 6: Final answer
    x = 3,450,760.71

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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.