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Finding the Third Proportional to 986,783 and 2,125,831

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Solution

The third proportional to 986,783 and 2,125,831 is: 4,579,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,783 : 2,125,831 = 2,125,831 : x
  2. Step 2: Convert to fraction form
    986,783/2,125,831 = 2,125,831/x
  3. Step 3: Cross multiply
    986,783x = 2,125,831 × 2,125,831
  4. Step 4: Simplify right side
    986,783x = 4,519,157,440,561
  5. Step 5: Solve for x
    x = 4,519,157,440,561/986,783
  6. Step 6: Final answer
    x = 4,579,687.17

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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.