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Finding the Third Proportional to 1,306,734 and 1,960,098

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Solution

The third proportional to 1,306,734 and 1,960,098 is: 2,940,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,734 : 1,960,098 = 1,960,098 : x
  2. Step 2: Convert to fraction form
    1,306,734/1,960,098 = 1,960,098/x
  3. Step 3: Cross multiply
    1,306,734x = 1,960,098 × 1,960,098
  4. Step 4: Simplify right side
    1,306,734x = 3,841,984,169,604
  5. Step 5: Solve for x
    x = 3,841,984,169,604/1,306,734
  6. Step 6: Final answer
    x = 2,940,142.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.