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Finding the Third Proportional to 545,979.66 and 1,161,977.91

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Solution

The third proportional to 545,979.66 and 1,161,977.91 is: 2,472,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,979.66 : 1,161,977.91 = 1,161,977.91 : x
  2. Step 2: Convert to fraction form
    545,979.66/1,161,977.91 = 1,161,977.91/x
  3. Step 3: Cross multiply
    545,979.66x = 1,161,977.91 × 1,161,977.91
  4. Step 4: Simplify right side
    545,979.66x = 1,350,192,654,613.13
  5. Step 5: Solve for x
    x = 1,350,192,654,613.13/545,979.66
  6. Step 6: Final answer
    x = 2,472,972.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.