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Finding the Third Proportional to 985,778 and 1,485,675

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Solution

The third proportional to 985,778 and 1,485,675 is: 2,239,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,778 : 1,485,675 = 1,485,675 : x
  2. Step 2: Convert to fraction form
    985,778/1,485,675 = 1,485,675/x
  3. Step 3: Cross multiply
    985,778x = 1,485,675 × 1,485,675
  4. Step 4: Simplify right side
    985,778x = 2,207,230,205,625
  5. Step 5: Solve for x
    x = 2,207,230,205,625/985,778
  6. Step 6: Final answer
    x = 2,239,074.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.