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Finding the Third Proportional to 969,903 and 2,123,271

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Solution

The third proportional to 969,903 and 2,123,271 is: 4,648,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,903 : 2,123,271 = 2,123,271 : x
  2. Step 2: Convert to fraction form
    969,903/2,123,271 = 2,123,271/x
  3. Step 3: Cross multiply
    969,903x = 2,123,271 × 2,123,271
  4. Step 4: Simplify right side
    969,903x = 4,508,279,739,441
  5. Step 5: Solve for x
    x = 4,508,279,739,441/969,903
  6. Step 6: Final answer
    x = 4,648,175.89

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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.