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Finding the Third Proportional to 1,023,079 and 1,600,226

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Solution

The third proportional to 1,023,079 and 1,600,226 is: 2,502,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,079 : 1,600,226 = 1,600,226 : x
  2. Step 2: Convert to fraction form
    1,023,079/1,600,226 = 1,600,226/x
  3. Step 3: Cross multiply
    1,023,079x = 1,600,226 × 1,600,226
  4. Step 4: Simplify right side
    1,023,079x = 2,560,723,251,076
  5. Step 5: Solve for x
    x = 2,560,723,251,076/1,023,079
  6. Step 6: Final answer
    x = 2,502,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.