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Finding the Third Proportional to 1,187,034.12 and 2,416,019.91

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Solution

The third proportional to 1,187,034.12 and 2,416,019.91 is: 4,917,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,034.12 : 2,416,019.91 = 2,416,019.91 : x
  2. Step 2: Convert to fraction form
    1,187,034.12/2,416,019.91 = 2,416,019.91/x
  3. Step 3: Cross multiply
    1,187,034.12x = 2,416,019.91 × 2,416,019.91
  4. Step 4: Simplify right side
    1,187,034.12x = 5,837,152,187,396.26
  5. Step 5: Solve for x
    x = 5,837,152,187,396.26/1,187,034.12
  6. Step 6: Final answer
    x = 4,917,425.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.