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Finding the Third Proportional to 976,187 and 2,102,224

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Solution

The third proportional to 976,187 and 2,102,224 is: 4,527,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,187 : 2,102,224 = 2,102,224 : x
  2. Step 2: Convert to fraction form
    976,187/2,102,224 = 2,102,224/x
  3. Step 3: Cross multiply
    976,187x = 2,102,224 × 2,102,224
  4. Step 4: Simplify right side
    976,187x = 4,419,345,746,176
  5. Step 5: Solve for x
    x = 4,419,345,746,176/976,187
  6. Step 6: Final answer
    x = 4,527,150.79

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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.