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Finding the Third Proportional to 581,471.81 and 1,231,987.69

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Solution

The third proportional to 581,471.81 and 1,231,987.69 is: 2,610,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,471.81 : 1,231,987.69 = 1,231,987.69 : x
  2. Step 2: Convert to fraction form
    581,471.81/1,231,987.69 = 1,231,987.69/x
  3. Step 3: Cross multiply
    581,471.81x = 1,231,987.69 × 1,231,987.69
  4. Step 4: Simplify right side
    581,471.81x = 1,517,793,662,151.60
  5. Step 5: Solve for x
    x = 1,517,793,662,151.60/581,471.81
  6. Step 6: Final answer
    x = 2,610,261.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.