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Finding the Third Proportional to 781,082 and 1,036,408

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Solution

The third proportional to 781,082 and 1,036,408 is: 1,375,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,082 : 1,036,408 = 1,036,408 : x
  2. Step 2: Convert to fraction form
    781,082/1,036,408 = 1,036,408/x
  3. Step 3: Cross multiply
    781,082x = 1,036,408 × 1,036,408
  4. Step 4: Simplify right side
    781,082x = 1,074,141,542,464
  5. Step 5: Solve for x
    x = 1,074,141,542,464/781,082
  6. Step 6: Final answer
    x = 1,375,196.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.