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Finding the Third Proportional to 986,802 and 2,125,872

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Solution

The third proportional to 986,802 and 2,125,872 is: 4,579,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,802 : 2,125,872 = 2,125,872 : x
  2. Step 2: Convert to fraction form
    986,802/2,125,872 = 2,125,872/x
  3. Step 3: Cross multiply
    986,802x = 2,125,872 × 2,125,872
  4. Step 4: Simplify right side
    986,802x = 4,519,331,760,384
  5. Step 5: Solve for x
    x = 4,519,331,760,384/986,802
  6. Step 6: Final answer
    x = 4,579,775.64

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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.