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Finding the Third Proportional to 1,065,129.75 and 1,498,186.13

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Solution

The third proportional to 1,065,129.75 and 1,498,186.13 is: 2,107,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,129.75 : 1,498,186.13 = 1,498,186.13 : x
  2. Step 2: Convert to fraction form
    1,065,129.75/1,498,186.13 = 1,498,186.13/x
  3. Step 3: Cross multiply
    1,065,129.75x = 1,498,186.13 × 1,498,186.13
  4. Step 4: Simplify right side
    1,065,129.75x = 2,244,561,665,142.52
  5. Step 5: Solve for x
    x = 2,244,561,665,142.52/1,065,129.75
  6. Step 6: Final answer
    x = 2,107,312.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.