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Finding the Third Proportional to 616,082.84 and 918,997.52

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Solution

The third proportional to 616,082.84 and 918,997.52 is: 1,370,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,082.84 : 918,997.52 = 918,997.52 : x
  2. Step 2: Convert to fraction form
    616,082.84/918,997.52 = 918,997.52/x
  3. Step 3: Cross multiply
    616,082.84x = 918,997.52 × 918,997.52
  4. Step 4: Simplify right side
    616,082.84x = 844,556,448,084.26
  5. Step 5: Solve for x
    x = 844,556,448,084.26/616,082.84
  6. Step 6: Final answer
    x = 1,370,848.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.