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Finding the Third Proportional to 986,736 and 2,156,085

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Solution

The third proportional to 986,736 and 2,156,085 is: 4,711,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,736 : 2,156,085 = 2,156,085 : x
  2. Step 2: Convert to fraction form
    986,736/2,156,085 = 2,156,085/x
  3. Step 3: Cross multiply
    986,736x = 2,156,085 × 2,156,085
  4. Step 4: Simplify right side
    986,736x = 4,648,702,527,225
  5. Step 5: Solve for x
    x = 4,648,702,527,225/986,736
  6. Step 6: Final answer
    x = 4,711,191.77

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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.