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Finding the Third Proportional to 485,067 and 1,020,411.38

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Solution

The third proportional to 485,067 and 1,020,411.38 is: 2,146,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,067 : 1,020,411.38 = 1,020,411.38 : x
  2. Step 2: Convert to fraction form
    485,067/1,020,411.38 = 1,020,411.38/x
  3. Step 3: Cross multiply
    485,067x = 1,020,411.38 × 1,020,411.38
  4. Step 4: Simplify right side
    485,067x = 1,041,239,374,229.39
  5. Step 5: Solve for x
    x = 1,041,239,374,229.39/485,067
  6. Step 6: Final answer
    x = 2,146,588.77

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Why These Related Problems?

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