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Finding the Third Proportional to 1,039,120 and 2,159,876

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Solution

The third proportional to 1,039,120 and 2,159,876 is: 4,489,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,120 : 2,159,876 = 2,159,876 : x
  2. Step 2: Convert to fraction form
    1,039,120/2,159,876 = 2,159,876/x
  3. Step 3: Cross multiply
    1,039,120x = 2,159,876 × 2,159,876
  4. Step 4: Simplify right side
    1,039,120x = 4,665,064,335,376
  5. Step 5: Solve for x
    x = 4,665,064,335,376/1,039,120
  6. Step 6: Final answer
    x = 4,489,437.54

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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.