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Finding the Third Proportional to 483,471.75 and 1,006,675.13

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Solution

The third proportional to 483,471.75 and 1,006,675.13 is: 2,096,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,471.75 : 1,006,675.13 = 1,006,675.13 : x
  2. Step 2: Convert to fraction form
    483,471.75/1,006,675.13 = 1,006,675.13/x
  3. Step 3: Cross multiply
    483,471.75x = 1,006,675.13 × 1,006,675.13
  4. Step 4: Simplify right side
    483,471.75x = 1,013,394,807,293.77
  5. Step 5: Solve for x
    x = 1,013,394,807,293.77/483,471.75
  6. Step 6: Final answer
    x = 2,096,078.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.