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Finding the Third Proportional to 986,524 and 2,119,904

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Solution

The third proportional to 986,524 and 2,119,904 is: 4,555,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,524 : 2,119,904 = 2,119,904 : x
  2. Step 2: Convert to fraction form
    986,524/2,119,904 = 2,119,904/x
  3. Step 3: Cross multiply
    986,524x = 2,119,904 × 2,119,904
  4. Step 4: Simplify right side
    986,524x = 4,493,992,969,216
  5. Step 5: Solve for x
    x = 4,493,992,969,216/986,524
  6. Step 6: Final answer
    x = 4,555,381.29

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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.