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Finding the Third Proportional to 613,264 and 913,902

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Solution

The third proportional to 613,264 and 913,902 is: 1,361,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,264 : 913,902 = 913,902 : x
  2. Step 2: Convert to fraction form
    613,264/913,902 = 913,902/x
  3. Step 3: Cross multiply
    613,264x = 913,902 × 913,902
  4. Step 4: Simplify right side
    613,264x = 835,216,865,604
  5. Step 5: Solve for x
    x = 835,216,865,604/613,264
  6. Step 6: Final answer
    x = 1,361,920.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.