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Finding the Third Proportional to 1,206,695.25 and 1,770,595.88

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Solution

The third proportional to 1,206,695.25 and 1,770,595.88 is: 2,598,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,695.25 : 1,770,595.88 = 1,770,595.88 : x
  2. Step 2: Convert to fraction form
    1,206,695.25/1,770,595.88 = 1,770,595.88/x
  3. Step 3: Cross multiply
    1,206,695.25x = 1,770,595.88 × 1,770,595.88
  4. Step 4: Simplify right side
    1,206,695.25x = 3,135,009,752,567.02
  5. Step 5: Solve for x
    x = 3,135,009,752,567.02/1,206,695.25
  6. Step 6: Final answer
    x = 2,598,012.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.