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Finding the Third Proportional to 768,052.13 and 1,683,721.69

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Solution

The third proportional to 768,052.13 and 1,683,721.69 is: 3,691,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,052.13 : 1,683,721.69 = 1,683,721.69 : x
  2. Step 2: Convert to fraction form
    768,052.13/1,683,721.69 = 1,683,721.69/x
  3. Step 3: Cross multiply
    768,052.13x = 1,683,721.69 × 1,683,721.69
  4. Step 4: Simplify right side
    768,052.13x = 2,834,918,720,957.85
  5. Step 5: Solve for x
    x = 2,834,918,720,957.85/768,052.13
  6. Step 6: Final answer
    x = 3,691,049.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.