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Finding the Third Proportional to 467,603 and 1,022,677

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Solution

The third proportional to 467,603 and 1,022,677 is: 2,236,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,603 : 1,022,677 = 1,022,677 : x
  2. Step 2: Convert to fraction form
    467,603/1,022,677 = 1,022,677/x
  3. Step 3: Cross multiply
    467,603x = 1,022,677 × 1,022,677
  4. Step 4: Simplify right side
    467,603x = 1,045,868,246,329
  5. Step 5: Solve for x
    x = 1,045,868,246,329/467,603
  6. Step 6: Final answer
    x = 2,236,658.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.