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Finding the Third Proportional to 619,255.13 and 935,119.69

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Solution

The third proportional to 619,255.13 and 935,119.69 is: 1,412,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,255.13 : 935,119.69 = 935,119.69 : x
  2. Step 2: Convert to fraction form
    619,255.13/935,119.69 = 935,119.69/x
  3. Step 3: Cross multiply
    619,255.13x = 935,119.69 × 935,119.69
  4. Step 4: Simplify right side
    619,255.13x = 874,448,829,950.10
  5. Step 5: Solve for x
    x = 874,448,829,950.10/619,255.13
  6. Step 6: Final answer
    x = 1,412,097.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.