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Finding the Third Proportional to 929,414 and 1,376,847

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Solution

The third proportional to 929,414 and 1,376,847 is: 2,039,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,414 : 1,376,847 = 1,376,847 : x
  2. Step 2: Convert to fraction form
    929,414/1,376,847 = 1,376,847/x
  3. Step 3: Cross multiply
    929,414x = 1,376,847 × 1,376,847
  4. Step 4: Simplify right side
    929,414x = 1,895,707,661,409
  5. Step 5: Solve for x
    x = 1,895,707,661,409/929,414
  6. Step 6: Final answer
    x = 2,039,680.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.