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Finding the Third Proportional to 826,872 and 1,207,504

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Solution

The third proportional to 826,872 and 1,207,504 is: 1,763,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,872 : 1,207,504 = 1,207,504 : x
  2. Step 2: Convert to fraction form
    826,872/1,207,504 = 1,207,504/x
  3. Step 3: Cross multiply
    826,872x = 1,207,504 × 1,207,504
  4. Step 4: Simplify right side
    826,872x = 1,458,065,910,016
  5. Step 5: Solve for x
    x = 1,458,065,910,016/826,872
  6. Step 6: Final answer
    x = 1,763,351.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.