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Finding the Third Proportional to 485,114 and 1,020,493

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Solution

The third proportional to 485,114 and 1,020,493 is: 2,146,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,114 : 1,020,493 = 1,020,493 : x
  2. Step 2: Convert to fraction form
    485,114/1,020,493 = 1,020,493/x
  3. Step 3: Cross multiply
    485,114x = 1,020,493 × 1,020,493
  4. Step 4: Simplify right side
    485,114x = 1,041,405,963,049
  5. Step 5: Solve for x
    x = 1,041,405,963,049/485,114
  6. Step 6: Final answer
    x = 2,146,724.20

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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.