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Finding the Third Proportional to 977,279 and 2,102,302

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Solution

The third proportional to 977,279 and 2,102,302 is: 4,522,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,279 : 2,102,302 = 2,102,302 : x
  2. Step 2: Convert to fraction form
    977,279/2,102,302 = 2,102,302/x
  3. Step 3: Cross multiply
    977,279x = 2,102,302 × 2,102,302
  4. Step 4: Simplify right side
    977,279x = 4,419,673,699,204
  5. Step 5: Solve for x
    x = 4,419,673,699,204/977,279
  6. Step 6: Final answer
    x = 4,522,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.