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Finding the Third Proportional to 986,517 and 2,122,758

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Solution

The third proportional to 986,517 and 2,122,758 is: 4,567,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,517 : 2,122,758 = 2,122,758 : x
  2. Step 2: Convert to fraction form
    986,517/2,122,758 = 2,122,758/x
  3. Step 3: Cross multiply
    986,517x = 2,122,758 × 2,122,758
  4. Step 4: Simplify right side
    986,517x = 4,506,101,526,564
  5. Step 5: Solve for x
    x = 4,506,101,526,564/986,517
  6. Step 6: Final answer
    x = 4,567,687.66

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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.