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Finding the Third Proportional to 641,012 and 996,478

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Solution

The third proportional to 641,012 and 996,478 is: 1,549,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,012 : 996,478 = 996,478 : x
  2. Step 2: Convert to fraction form
    641,012/996,478 = 996,478/x
  3. Step 3: Cross multiply
    641,012x = 996,478 × 996,478
  4. Step 4: Simplify right side
    641,012x = 992,968,404,484
  5. Step 5: Solve for x
    x = 992,968,404,484/641,012
  6. Step 6: Final answer
    x = 1,549,063.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.