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Finding the Third Proportional to 833,478 and 1,244,723

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Solution

The third proportional to 833,478 and 1,244,723 is: 1,858,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,478 : 1,244,723 = 1,244,723 : x
  2. Step 2: Convert to fraction form
    833,478/1,244,723 = 1,244,723/x
  3. Step 3: Cross multiply
    833,478x = 1,244,723 × 1,244,723
  4. Step 4: Simplify right side
    833,478x = 1,549,335,346,729
  5. Step 5: Solve for x
    x = 1,549,335,346,729/833,478
  6. Step 6: Final answer
    x = 1,858,879.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.