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Finding the Third Proportional to 485,123 and 1,020,517

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Solution

The third proportional to 485,123 and 1,020,517 is: 2,146,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,123 : 1,020,517 = 1,020,517 : x
  2. Step 2: Convert to fraction form
    485,123/1,020,517 = 1,020,517/x
  3. Step 3: Cross multiply
    485,123x = 1,020,517 × 1,020,517
  4. Step 4: Simplify right side
    485,123x = 1,041,454,947,289
  5. Step 5: Solve for x
    x = 1,041,454,947,289/485,123
  6. Step 6: Final answer
    x = 2,146,785.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.