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Finding the Third Proportional to 655,486 and 897,077

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Solution

The third proportional to 655,486 and 897,077 is: 1,227,710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,486 : 897,077 = 897,077 : x
  2. Step 2: Convert to fraction form
    655,486/897,077 = 897,077/x
  3. Step 3: Cross multiply
    655,486x = 897,077 × 897,077
  4. Step 4: Simplify right side
    655,486x = 804,747,143,929
  5. Step 5: Solve for x
    x = 804,747,143,929/655,486
  6. Step 6: Final answer
    x = 1,227,710.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.