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Finding the Third Proportional to 488,446 and 1,041,408

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Solution

The third proportional to 488,446 and 1,041,408 is: 2,220,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,446 : 1,041,408 = 1,041,408 : x
  2. Step 2: Convert to fraction form
    488,446/1,041,408 = 1,041,408/x
  3. Step 3: Cross multiply
    488,446x = 1,041,408 × 1,041,408
  4. Step 4: Simplify right side
    488,446x = 1,084,530,622,464
  5. Step 5: Solve for x
    x = 1,084,530,622,464/488,446
  6. Step 6: Final answer
    x = 2,220,369.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.