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Finding the Third Proportional to 496,049.06 and 1,074,502.13

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Solution

The third proportional to 496,049.06 and 1,074,502.13 is: 2,327,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,049.06 : 1,074,502.13 = 1,074,502.13 : x
  2. Step 2: Convert to fraction form
    496,049.06/1,074,502.13 = 1,074,502.13/x
  3. Step 3: Cross multiply
    496,049.06x = 1,074,502.13 × 1,074,502.13
  4. Step 4: Simplify right side
    496,049.06x = 1,154,554,816,629.52
  5. Step 5: Solve for x
    x = 1,154,554,816,629.52/496,049.06
  6. Step 6: Final answer
    x = 2,327,501.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.