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Finding the Third Proportional to 917,659.13 and 1,395,928.69

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Solution

The third proportional to 917,659.13 and 1,395,928.69 is: 2,123,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,659.13 : 1,395,928.69 = 1,395,928.69 : x
  2. Step 2: Convert to fraction form
    917,659.13/1,395,928.69 = 1,395,928.69/x
  3. Step 3: Cross multiply
    917,659.13x = 1,395,928.69 × 1,395,928.69
  4. Step 4: Simplify right side
    917,659.13x = 1,948,616,900,585.47
  5. Step 5: Solve for x
    x = 1,948,616,900,585.47/917,659.13
  6. Step 6: Final answer
    x = 2,123,464.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.