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Finding the Third Proportional to 517,790.25 and 1,129,713.75

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Solution

The third proportional to 517,790.25 and 1,129,713.75 is: 2,464,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,790.25 : 1,129,713.75 = 1,129,713.75 : x
  2. Step 2: Convert to fraction form
    517,790.25/1,129,713.75 = 1,129,713.75/x
  3. Step 3: Cross multiply
    517,790.25x = 1,129,713.75 × 1,129,713.75
  4. Step 4: Simplify right side
    517,790.25x = 1,276,253,156,939.06
  5. Step 5: Solve for x
    x = 1,276,253,156,939.06/517,790.25
  6. Step 6: Final answer
    x = 2,464,807.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.