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Finding the Third Proportional to 986,916 and 2,123,520

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Solution

The third proportional to 986,916 and 2,123,520 is: 4,569,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,916 : 2,123,520 = 2,123,520 : x
  2. Step 2: Convert to fraction form
    986,916/2,123,520 = 2,123,520/x
  3. Step 3: Cross multiply
    986,916x = 2,123,520 × 2,123,520
  4. Step 4: Simplify right side
    986,916x = 4,509,337,190,400
  5. Step 5: Solve for x
    x = 4,509,337,190,400/986,916
  6. Step 6: Final answer
    x = 4,569,119.55

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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.