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Finding the Third Proportional to 485,123 and 1,036,745

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Solution

The third proportional to 485,123 and 1,036,745 is: 2,215,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,123 : 1,036,745 = 1,036,745 : x
  2. Step 2: Convert to fraction form
    485,123/1,036,745 = 1,036,745/x
  3. Step 3: Cross multiply
    485,123x = 1,036,745 × 1,036,745
  4. Step 4: Simplify right side
    485,123x = 1,074,840,195,025
  5. Step 5: Solve for x
    x = 1,074,840,195,025/485,123
  6. Step 6: Final answer
    x = 2,215,603.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.