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Finding the Third Proportional to 466,385 and 988,819

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Solution

The third proportional to 466,385 and 988,819 is: 2,096,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,385 : 988,819 = 988,819 : x
  2. Step 2: Convert to fraction form
    466,385/988,819 = 988,819/x
  3. Step 3: Cross multiply
    466,385x = 988,819 × 988,819
  4. Step 4: Simplify right side
    466,385x = 977,763,014,761
  5. Step 5: Solve for x
    x = 977,763,014,761/466,385
  6. Step 6: Final answer
    x = 2,096,471.83

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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.