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Finding the Third Proportional to 485,103 and 1,020,471

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Solution

The third proportional to 485,103 and 1,020,471 is: 2,146,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,103 : 1,020,471 = 1,020,471 : x
  2. Step 2: Convert to fraction form
    485,103/1,020,471 = 1,020,471/x
  3. Step 3: Cross multiply
    485,103x = 1,020,471 × 1,020,471
  4. Step 4: Simplify right side
    485,103x = 1,041,361,061,841
  5. Step 5: Solve for x
    x = 1,041,361,061,841/485,103
  6. Step 6: Final answer
    x = 2,146,680.32

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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.