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Finding the Third Proportional to 801,490 and 1,199,723

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Solution

The third proportional to 801,490 and 1,199,723 is: 1,795,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,490 : 1,199,723 = 1,199,723 : x
  2. Step 2: Convert to fraction form
    801,490/1,199,723 = 1,199,723/x
  3. Step 3: Cross multiply
    801,490x = 1,199,723 × 1,199,723
  4. Step 4: Simplify right side
    801,490x = 1,439,335,276,729
  5. Step 5: Solve for x
    x = 1,439,335,276,729/801,490
  6. Step 6: Final answer
    x = 1,795,824.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.