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Finding the Third Proportional to 543,408 and 1,191,792

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Solution

The third proportional to 543,408 and 1,191,792 is: 2,613,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,408 : 1,191,792 = 1,191,792 : x
  2. Step 2: Convert to fraction form
    543,408/1,191,792 = 1,191,792/x
  3. Step 3: Cross multiply
    543,408x = 1,191,792 × 1,191,792
  4. Step 4: Simplify right side
    543,408x = 1,420,368,171,264
  5. Step 5: Solve for x
    x = 1,420,368,171,264/543,408
  6. Step 6: Final answer
    x = 2,613,815.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.