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Finding the Third Proportional to 485,105 and 1,020,475

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Solution

The third proportional to 485,105 and 1,020,475 is: 2,146,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,105 : 1,020,475 = 1,020,475 : x
  2. Step 2: Convert to fraction form
    485,105/1,020,475 = 1,020,475/x
  3. Step 3: Cross multiply
    485,105x = 1,020,475 × 1,020,475
  4. Step 4: Simplify right side
    485,105x = 1,041,369,225,625
  5. Step 5: Solve for x
    x = 1,041,369,225,625/485,105
  6. Step 6: Final answer
    x = 2,146,688.30

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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.