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Finding the Third Proportional to 547,263 and 1,175,445

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Solution

The third proportional to 547,263 and 1,175,445 is: 2,524,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,263 : 1,175,445 = 1,175,445 : x
  2. Step 2: Convert to fraction form
    547,263/1,175,445 = 1,175,445/x
  3. Step 3: Cross multiply
    547,263x = 1,175,445 × 1,175,445
  4. Step 4: Simplify right side
    547,263x = 1,381,670,948,025
  5. Step 5: Solve for x
    x = 1,381,670,948,025/547,263
  6. Step 6: Final answer
    x = 2,524,692.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.