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Finding the Third Proportional to 710,108 and 998,812

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Solution

The third proportional to 710,108 and 998,812 is: 1,404,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,108 : 998,812 = 998,812 : x
  2. Step 2: Convert to fraction form
    710,108/998,812 = 998,812/x
  3. Step 3: Cross multiply
    710,108x = 998,812 × 998,812
  4. Step 4: Simplify right side
    710,108x = 997,625,411,344
  5. Step 5: Solve for x
    x = 997,625,411,344/710,108
  6. Step 6: Final answer
    x = 1,404,892.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.