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Finding the Third Proportional to 969,262 and 2,114,775

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Solution

The third proportional to 969,262 and 2,114,775 is: 4,614,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,262 : 2,114,775 = 2,114,775 : x
  2. Step 2: Convert to fraction form
    969,262/2,114,775 = 2,114,775/x
  3. Step 3: Cross multiply
    969,262x = 2,114,775 × 2,114,775
  4. Step 4: Simplify right side
    969,262x = 4,472,273,300,625
  5. Step 5: Solve for x
    x = 4,472,273,300,625/969,262
  6. Step 6: Final answer
    x = 4,614,101.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.