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Finding the Third Proportional to 986,793 and 2,125,851

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Solution

The third proportional to 986,793 and 2,125,851 is: 4,579,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,793 : 2,125,851 = 2,125,851 : x
  2. Step 2: Convert to fraction form
    986,793/2,125,851 = 2,125,851/x
  3. Step 3: Cross multiply
    986,793x = 2,125,851 × 2,125,851
  4. Step 4: Simplify right side
    986,793x = 4,519,242,474,201
  5. Step 5: Solve for x
    x = 4,519,242,474,201/986,793
  6. Step 6: Final answer
    x = 4,579,726.93

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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.