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Finding the Third Proportional to 466,038 and 998,478

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Solution

The third proportional to 466,038 and 998,478 is: 2,139,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,038 : 998,478 = 998,478 : x
  2. Step 2: Convert to fraction form
    466,038/998,478 = 998,478/x
  3. Step 3: Cross multiply
    466,038x = 998,478 × 998,478
  4. Step 4: Simplify right side
    466,038x = 996,958,316,484
  5. Step 5: Solve for x
    x = 996,958,316,484/466,038
  6. Step 6: Final answer
    x = 2,139,221.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.