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Finding the Third Proportional to 1,205,809 and 1,866,233

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Solution

The third proportional to 1,205,809 and 1,866,233 is: 2,888,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,809 : 1,866,233 = 1,866,233 : x
  2. Step 2: Convert to fraction form
    1,205,809/1,866,233 = 1,866,233/x
  3. Step 3: Cross multiply
    1,205,809x = 1,866,233 × 1,866,233
  4. Step 4: Simplify right side
    1,205,809x = 3,482,825,610,289
  5. Step 5: Solve for x
    x = 3,482,825,610,289/1,205,809
  6. Step 6: Final answer
    x = 2,888,372.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.