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Finding the Third Proportional to 1,206,116 and 2,511,478

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Solution

The third proportional to 1,206,116 and 2,511,478 is: 5,229,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,116 : 2,511,478 = 2,511,478 : x
  2. Step 2: Convert to fraction form
    1,206,116/2,511,478 = 2,511,478/x
  3. Step 3: Cross multiply
    1,206,116x = 2,511,478 × 2,511,478
  4. Step 4: Simplify right side
    1,206,116x = 6,307,521,744,484
  5. Step 5: Solve for x
    x = 6,307,521,744,484/1,206,116
  6. Step 6: Final answer
    x = 5,229,614.52

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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.