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Finding the Third Proportional to 614,082 and 903,561

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Solution

The third proportional to 614,082 and 903,561 is: 1,329,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,082 : 903,561 = 903,561 : x
  2. Step 2: Convert to fraction form
    614,082/903,561 = 903,561/x
  3. Step 3: Cross multiply
    614,082x = 903,561 × 903,561
  4. Step 4: Simplify right side
    614,082x = 816,422,480,721
  5. Step 5: Solve for x
    x = 816,422,480,721/614,082
  6. Step 6: Final answer
    x = 1,329,500.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.