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Finding the Third Proportional to 1,067,092.50 and 1,627,740

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Solution

The third proportional to 1,067,092.50 and 1,627,740 is: 2,482,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,092.50 : 1,627,740 = 1,627,740 : x
  2. Step 2: Convert to fraction form
    1,067,092.50/1,627,740 = 1,627,740/x
  3. Step 3: Cross multiply
    1,067,092.50x = 1,627,740 × 1,627,740
  4. Step 4: Simplify right side
    1,067,092.50x = 2,649,537,507,600
  5. Step 5: Solve for x
    x = 2,649,537,507,600/1,067,092.50
  6. Step 6: Final answer
    x = 2,482,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.