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Finding the Third Proportional to 697,505 and 987,241

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Solution

The third proportional to 697,505 and 987,241 is: 1,397,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,505 : 987,241 = 987,241 : x
  2. Step 2: Convert to fraction form
    697,505/987,241 = 987,241/x
  3. Step 3: Cross multiply
    697,505x = 987,241 × 987,241
  4. Step 4: Simplify right side
    697,505x = 974,644,792,081
  5. Step 5: Solve for x
    x = 974,644,792,081/697,505
  6. Step 6: Final answer
    x = 1,397,330.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.