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Finding the Third Proportional to 461,354 and 998,502

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Solution

The third proportional to 461,354 and 998,502 is: 2,161,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,354 : 998,502 = 998,502 : x
  2. Step 2: Convert to fraction form
    461,354/998,502 = 998,502/x
  3. Step 3: Cross multiply
    461,354x = 998,502 × 998,502
  4. Step 4: Simplify right side
    461,354x = 997,006,244,004
  5. Step 5: Solve for x
    x = 997,006,244,004/461,354
  6. Step 6: Final answer
    x = 2,161,043.89

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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.