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Finding the Third Proportional to 498,822 and 1,207,599

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Solution

The third proportional to 498,822 and 1,207,599 is: 2,923,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,822 : 1,207,599 = 1,207,599 : x
  2. Step 2: Convert to fraction form
    498,822/1,207,599 = 1,207,599/x
  3. Step 3: Cross multiply
    498,822x = 1,207,599 × 1,207,599
  4. Step 4: Simplify right side
    498,822x = 1,458,295,344,801
  5. Step 5: Solve for x
    x = 1,458,295,344,801/498,822
  6. Step 6: Final answer
    x = 2,923,478.40

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.