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Finding the Third Proportional to 1,205,794.50 and 1,866,211.50

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Solution

The third proportional to 1,205,794.50 and 1,866,211.50 is: 2,888,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,794.50 : 1,866,211.50 = 1,866,211.50 : x
  2. Step 2: Convert to fraction form
    1,205,794.50/1,866,211.50 = 1,866,211.50/x
  3. Step 3: Cross multiply
    1,205,794.50x = 1,866,211.50 × 1,866,211.50
  4. Step 4: Simplify right side
    1,205,794.50x = 3,482,745,362,732.25
  5. Step 5: Solve for x
    x = 3,482,745,362,732.25/1,205,794.50
  6. Step 6: Final answer
    x = 2,888,340.73

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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.