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Finding the Third Proportional to 985,294.13 and 1,496,446.31

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Solution

The third proportional to 985,294.13 and 1,496,446.31 is: 2,272,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,294.13 : 1,496,446.31 = 1,496,446.31 : x
  2. Step 2: Convert to fraction form
    985,294.13/1,496,446.31 = 1,496,446.31/x
  3. Step 3: Cross multiply
    985,294.13x = 1,496,446.31 × 1,496,446.31
  4. Step 4: Simplify right side
    985,294.13x = 2,239,351,566,194.85
  5. Step 5: Solve for x
    x = 2,239,351,566,194.85/985,294.13
  6. Step 6: Final answer
    x = 2,272,774.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.