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Finding the Third Proportional to 800,432 and 1,423,388

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Solution

The third proportional to 800,432 and 1,423,388 is: 2,531,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,432 : 1,423,388 = 1,423,388 : x
  2. Step 2: Convert to fraction form
    800,432/1,423,388 = 1,423,388/x
  3. Step 3: Cross multiply
    800,432x = 1,423,388 × 1,423,388
  4. Step 4: Simplify right side
    800,432x = 2,026,033,398,544
  5. Step 5: Solve for x
    x = 2,026,033,398,544/800,432
  6. Step 6: Final answer
    x = 2,531,174.91

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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.