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Finding the Third Proportional to 732,008 and 1,586,204

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Solution

The third proportional to 732,008 and 1,586,204 is: 3,437,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,008 : 1,586,204 = 1,586,204 : x
  2. Step 2: Convert to fraction form
    732,008/1,586,204 = 1,586,204/x
  3. Step 3: Cross multiply
    732,008x = 1,586,204 × 1,586,204
  4. Step 4: Simplify right side
    732,008x = 2,516,043,129,616
  5. Step 5: Solve for x
    x = 2,516,043,129,616/732,008
  6. Step 6: Final answer
    x = 3,437,179.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.