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Finding the Third Proportional to 734,892.75 and 1,102,339.13

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Solution

The third proportional to 734,892.75 and 1,102,339.13 is: 1,653,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,892.75 : 1,102,339.13 = 1,102,339.13 : x
  2. Step 2: Convert to fraction form
    734,892.75/1,102,339.13 = 1,102,339.13/x
  3. Step 3: Cross multiply
    734,892.75x = 1,102,339.13 × 1,102,339.13
  4. Step 4: Simplify right side
    734,892.75x = 1,215,151,546,505.77
  5. Step 5: Solve for x
    x = 1,215,151,546,505.77/734,892.75
  6. Step 6: Final answer
    x = 1,653,508.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.