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Finding the Third Proportional to 466,498 and 966,188

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Solution

The third proportional to 466,498 and 966,188 is: 2,001,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,498 : 966,188 = 966,188 : x
  2. Step 2: Convert to fraction form
    466,498/966,188 = 966,188/x
  3. Step 3: Cross multiply
    466,498x = 966,188 × 966,188
  4. Step 4: Simplify right side
    466,498x = 933,519,251,344
  5. Step 5: Solve for x
    x = 933,519,251,344/466,498
  6. Step 6: Final answer
    x = 2,001,121.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.