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Finding the Third Proportional to 491,437.13 and 1,079,233.88

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Solution

The third proportional to 491,437.13 and 1,079,233.88 is: 2,370,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,437.13 : 1,079,233.88 = 1,079,233.88 : x
  2. Step 2: Convert to fraction form
    491,437.13/1,079,233.88 = 1,079,233.88/x
  3. Step 3: Cross multiply
    491,437.13x = 1,079,233.88 × 1,079,233.88
  4. Step 4: Simplify right side
    491,437.13x = 1,164,745,756,947.52
  5. Step 5: Solve for x
    x = 1,164,745,756,947.52/491,437.13
  6. Step 6: Final answer
    x = 2,370,080.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.