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Finding the Third Proportional to 3,829,710.38 and 5,929,708.78

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Solution

The third proportional to 3,829,710.38 and 5,929,708.78 is: 9,181,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,710.38 : 5,929,708.78 = 5,929,708.78 : x
  2. Step 2: Convert to fraction form
    3,829,710.38/5,929,708.78 = 5,929,708.78/x
  3. Step 3: Cross multiply
    3,829,710.38x = 5,929,708.78 × 5,929,708.78
  4. Step 4: Simplify right side
    3,829,710.38x = 35,161,446,230,433.36
  5. Step 5: Solve for x
    x = 35,161,446,230,433.36/3,829,710.38
  6. Step 6: Final answer
    x = 9,181,228.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.