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Finding the Third Proportional to 726,609.23 and 1,134,062.65

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Solution

The third proportional to 726,609.23 and 1,134,062.65 is: 1,769,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,609.23 : 1,134,062.65 = 1,134,062.65 : x
  2. Step 2: Convert to fraction form
    726,609.23/1,134,062.65 = 1,134,062.65/x
  3. Step 3: Cross multiply
    726,609.23x = 1,134,062.65 × 1,134,062.65
  4. Step 4: Simplify right side
    726,609.23x = 1,286,098,090,581.08
  5. Step 5: Solve for x
    x = 1,286,098,090,581.08/726,609.23
  6. Step 6: Final answer
    x = 1,769,999.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.