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Finding the Third Proportional to 784,755 and 1,110,732.75

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Solution

The third proportional to 784,755 and 1,110,732.75 is: 1,572,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,755 : 1,110,732.75 = 1,110,732.75 : x
  2. Step 2: Convert to fraction form
    784,755/1,110,732.75 = 1,110,732.75/x
  3. Step 3: Cross multiply
    784,755x = 1,110,732.75 × 1,110,732.75
  4. Step 4: Simplify right side
    784,755x = 1,233,727,241,922.56
  5. Step 5: Solve for x
    x = 1,233,727,241,922.56/784,755
  6. Step 6: Final answer
    x = 1,572,117.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.