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Finding the Third Proportional to 800,434 and 1,423,392

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Solution

The third proportional to 800,434 and 1,423,392 is: 2,531,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,434 : 1,423,392 = 1,423,392 : x
  2. Step 2: Convert to fraction form
    800,434/1,423,392 = 1,423,392/x
  3. Step 3: Cross multiply
    800,434x = 1,423,392 × 1,423,392
  4. Step 4: Simplify right side
    800,434x = 2,026,044,785,664
  5. Step 5: Solve for x
    x = 2,026,044,785,664/800,434
  6. Step 6: Final answer
    x = 2,531,182.82

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.