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Finding the Third Proportional to 652,325 and 918,615

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Solution

The third proportional to 652,325 and 918,615 is: 1,293,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,325 : 918,615 = 918,615 : x
  2. Step 2: Convert to fraction form
    652,325/918,615 = 918,615/x
  3. Step 3: Cross multiply
    652,325x = 918,615 × 918,615
  4. Step 4: Simplify right side
    652,325x = 843,853,518,225
  5. Step 5: Solve for x
    x = 843,853,518,225/652,325
  6. Step 6: Final answer
    x = 1,293,609.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.