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Finding the Third Proportional to 466,386 and 988,821

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Solution

The third proportional to 466,386 and 988,821 is: 2,096,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,386 : 988,821 = 988,821 : x
  2. Step 2: Convert to fraction form
    466,386/988,821 = 988,821/x
  3. Step 3: Cross multiply
    466,386x = 988,821 × 988,821
  4. Step 4: Simplify right side
    466,386x = 977,766,970,041
  5. Step 5: Solve for x
    x = 977,766,970,041/466,386
  6. Step 6: Final answer
    x = 2,096,475.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.