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Finding the Third Proportional to 826,612 and 1,752,420

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Solution

The third proportional to 826,612 and 1,752,420 is: 3,715,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,612 : 1,752,420 = 1,752,420 : x
  2. Step 2: Convert to fraction form
    826,612/1,752,420 = 1,752,420/x
  3. Step 3: Cross multiply
    826,612x = 1,752,420 × 1,752,420
  4. Step 4: Simplify right side
    826,612x = 3,070,975,856,400
  5. Step 5: Solve for x
    x = 3,070,975,856,400/826,612
  6. Step 6: Final answer
    x = 3,715,135.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.