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Finding the Third Proportional to 761,469.19 and 1,142,353.13

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Solution

The third proportional to 761,469.19 and 1,142,353.13 is: 1,713,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,469.19 : 1,142,353.13 = 1,142,353.13 : x
  2. Step 2: Convert to fraction form
    761,469.19/1,142,353.13 = 1,142,353.13/x
  3. Step 3: Cross multiply
    761,469.19x = 1,142,353.13 × 1,142,353.13
  4. Step 4: Simplify right side
    761,469.19x = 1,304,970,662,197.27
  5. Step 5: Solve for x
    x = 1,304,970,662,197.27/761,469.19
  6. Step 6: Final answer
    x = 1,713,753.73

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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.