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Finding the Third Proportional to 826,633 and 1,252,408

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Solution

The third proportional to 826,633 and 1,252,408 is: 1,897,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,633 : 1,252,408 = 1,252,408 : x
  2. Step 2: Convert to fraction form
    826,633/1,252,408 = 1,252,408/x
  3. Step 3: Cross multiply
    826,633x = 1,252,408 × 1,252,408
  4. Step 4: Simplify right side
    826,633x = 1,568,525,798,464
  5. Step 5: Solve for x
    x = 1,568,525,798,464/826,633
  6. Step 6: Final answer
    x = 1,897,487.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.