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Finding the Third Proportional to 825,319.13 and 1,168,723.69

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Solution

The third proportional to 825,319.13 and 1,168,723.69 is: 1,655,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,319.13 : 1,168,723.69 = 1,168,723.69 : x
  2. Step 2: Convert to fraction form
    825,319.13/1,168,723.69 = 1,168,723.69/x
  3. Step 3: Cross multiply
    825,319.13x = 1,168,723.69 × 1,168,723.69
  4. Step 4: Simplify right side
    825,319.13x = 1,365,915,057,723.60
  5. Step 5: Solve for x
    x = 1,365,915,057,723.60/825,319.13
  6. Step 6: Final answer
    x = 1,655,014.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.