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Finding the Third Proportional to 1,205,795.25 and 1,866,213

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Solution

The third proportional to 1,205,795.25 and 1,866,213 is: 2,888,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,795.25 : 1,866,213 = 1,866,213 : x
  2. Step 2: Convert to fraction form
    1,205,795.25/1,866,213 = 1,866,213/x
  3. Step 3: Cross multiply
    1,205,795.25x = 1,866,213 × 1,866,213
  4. Step 4: Simplify right side
    1,205,795.25x = 3,482,750,961,369
  5. Step 5: Solve for x
    x = 3,482,750,961,369/1,205,795.25
  6. Step 6: Final answer
    x = 2,888,343.57

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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.