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Finding the Third Proportional to 799,740 and 1,207,872

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Solution

The third proportional to 799,740 and 1,207,872 is: 1,824,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,740 : 1,207,872 = 1,207,872 : x
  2. Step 2: Convert to fraction form
    799,740/1,207,872 = 1,207,872/x
  3. Step 3: Cross multiply
    799,740x = 1,207,872 × 1,207,872
  4. Step 4: Simplify right side
    799,740x = 1,458,954,768,384
  5. Step 5: Solve for x
    x = 1,458,954,768,384/799,740
  6. Step 6: Final answer
    x = 1,824,286.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.