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Finding the Third Proportional to 1,711,569 and 3,708,537

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Solution

The third proportional to 1,711,569 and 3,708,537 is: 8,035,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711,569 : 3,708,537 = 3,708,537 : x
  2. Step 2: Convert to fraction form
    1,711,569/3,708,537 = 3,708,537/x
  3. Step 3: Cross multiply
    1,711,569x = 3,708,537 × 3,708,537
  4. Step 4: Simplify right side
    1,711,569x = 13,753,246,680,369
  5. Step 5: Solve for x
    x = 13,753,246,680,369/1,711,569
  6. Step 6: Final answer
    x = 8,035,461.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.