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Finding the Third Proportional to 466,540 and 966,289

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Solution

The third proportional to 466,540 and 966,289 is: 2,001,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,540 : 966,289 = 966,289 : x
  2. Step 2: Convert to fraction form
    466,540/966,289 = 966,289/x
  3. Step 3: Cross multiply
    466,540x = 966,289 × 966,289
  4. Step 4: Simplify right side
    466,540x = 933,714,431,521
  5. Step 5: Solve for x
    x = 933,714,431,521/466,540
  6. Step 6: Final answer
    x = 2,001,359.87

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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.