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Finding the Third Proportional to 940,162 and 1,432,282

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Solution

The third proportional to 940,162 and 1,432,282 is: 2,181,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,162 : 1,432,282 = 1,432,282 : x
  2. Step 2: Convert to fraction form
    940,162/1,432,282 = 1,432,282/x
  3. Step 3: Cross multiply
    940,162x = 1,432,282 × 1,432,282
  4. Step 4: Simplify right side
    940,162x = 2,051,431,727,524
  5. Step 5: Solve for x
    x = 2,051,431,727,524/940,162
  6. Step 6: Final answer
    x = 2,181,998.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.