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Finding the Third Proportional to 448,972 and 976,500

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Solution

The third proportional to 448,972 and 976,500 is: 2,123,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,972 : 976,500 = 976,500 : x
  2. Step 2: Convert to fraction form
    448,972/976,500 = 976,500/x
  3. Step 3: Cross multiply
    448,972x = 976,500 × 976,500
  4. Step 4: Simplify right side
    448,972x = 953,552,250,000
  5. Step 5: Solve for x
    x = 953,552,250,000/448,972
  6. Step 6: Final answer
    x = 2,123,856.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.