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Finding the Third Proportional to 461,322 and 998,461.13

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Solution

The third proportional to 461,322 and 998,461.13 is: 2,161,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,322 : 998,461.13 = 998,461.13 : x
  2. Step 2: Convert to fraction form
    461,322/998,461.13 = 998,461.13/x
  3. Step 3: Cross multiply
    461,322x = 998,461.13 × 998,461.13
  4. Step 4: Simplify right side
    461,322x = 996,924,618,136.27
  5. Step 5: Solve for x
    x = 996,924,618,136.27/461,322
  6. Step 6: Final answer
    x = 2,161,016.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.