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Finding the Third Proportional to 486,060.75 and 1,003,205.25

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Solution

The third proportional to 486,060.75 and 1,003,205.25 is: 2,070,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,060.75 : 1,003,205.25 = 1,003,205.25 : x
  2. Step 2: Convert to fraction form
    486,060.75/1,003,205.25 = 1,003,205.25/x
  3. Step 3: Cross multiply
    486,060.75x = 1,003,205.25 × 1,003,205.25
  4. Step 4: Simplify right side
    486,060.75x = 1,006,420,773,627.56
  5. Step 5: Solve for x
    x = 1,006,420,773,627.56/486,060.75
  6. Step 6: Final answer
    x = 2,070,565.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.