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Finding the Third Proportional to 853,092 and 1,281,825

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Solution

The third proportional to 853,092 and 1,281,825 is: 1,926,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,092 : 1,281,825 = 1,281,825 : x
  2. Step 2: Convert to fraction form
    853,092/1,281,825 = 1,281,825/x
  3. Step 3: Cross multiply
    853,092x = 1,281,825 × 1,281,825
  4. Step 4: Simplify right side
    853,092x = 1,643,075,330,625
  5. Step 5: Solve for x
    x = 1,643,075,330,625/853,092
  6. Step 6: Final answer
    x = 1,926,023.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.