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Finding the Third Proportional to 659,385 and 1,027,599

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Solution

The third proportional to 659,385 and 1,027,599 is: 1,601,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,385 : 1,027,599 = 1,027,599 : x
  2. Step 2: Convert to fraction form
    659,385/1,027,599 = 1,027,599/x
  3. Step 3: Cross multiply
    659,385x = 1,027,599 × 1,027,599
  4. Step 4: Simplify right side
    659,385x = 1,055,959,704,801
  5. Step 5: Solve for x
    x = 1,055,959,704,801/659,385
  6. Step 6: Final answer
    x = 1,601,431.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.