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Finding the Third Proportional to 543,156 and 1,193,304

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Solution

The third proportional to 543,156 and 1,193,304 is: 2,621,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,156 : 1,193,304 = 1,193,304 : x
  2. Step 2: Convert to fraction form
    543,156/1,193,304 = 1,193,304/x
  3. Step 3: Cross multiply
    543,156x = 1,193,304 × 1,193,304
  4. Step 4: Simplify right side
    543,156x = 1,423,974,436,416
  5. Step 5: Solve for x
    x = 1,423,974,436,416/543,156
  6. Step 6: Final answer
    x = 2,621,667.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.