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Finding the Third Proportional to 976,680 and 2,028,210

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Solution

The third proportional to 976,680 and 2,028,210 is: 4,211,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,680 : 2,028,210 = 2,028,210 : x
  2. Step 2: Convert to fraction form
    976,680/2,028,210 = 2,028,210/x
  3. Step 3: Cross multiply
    976,680x = 2,028,210 × 2,028,210
  4. Step 4: Simplify right side
    976,680x = 4,113,635,804,100
  5. Step 5: Solve for x
    x = 4,113,635,804,100/976,680
  6. Step 6: Final answer
    x = 4,211,856.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.