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Finding the Third Proportional to 858,727.13 and 1,261,837.69

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Solution

The third proportional to 858,727.13 and 1,261,837.69 is: 1,854,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,727.13 : 1,261,837.69 = 1,261,837.69 : x
  2. Step 2: Convert to fraction form
    858,727.13/1,261,837.69 = 1,261,837.69/x
  3. Step 3: Cross multiply
    858,727.13x = 1,261,837.69 × 1,261,837.69
  4. Step 4: Simplify right side
    858,727.13x = 1,592,234,349,595.35
  5. Step 5: Solve for x
    x = 1,592,234,349,595.35/858,727.13
  6. Step 6: Final answer
    x = 1,854,179.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.