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Finding the Third Proportional to 732,932 and 1,121,195

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Solution

The third proportional to 732,932 and 1,121,195 is: 1,715,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,932 : 1,121,195 = 1,121,195 : x
  2. Step 2: Convert to fraction form
    732,932/1,121,195 = 1,121,195/x
  3. Step 3: Cross multiply
    732,932x = 1,121,195 × 1,121,195
  4. Step 4: Simplify right side
    732,932x = 1,257,078,228,025
  5. Step 5: Solve for x
    x = 1,257,078,228,025/732,932
  6. Step 6: Final answer
    x = 1,715,136.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.