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Finding the Third Proportional to 564,755 and 1,211,401

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Solution

The third proportional to 564,755 and 1,211,401 is: 2,598,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,755 : 1,211,401 = 1,211,401 : x
  2. Step 2: Convert to fraction form
    564,755/1,211,401 = 1,211,401/x
  3. Step 3: Cross multiply
    564,755x = 1,211,401 × 1,211,401
  4. Step 4: Simplify right side
    564,755x = 1,467,492,382,801
  5. Step 5: Solve for x
    x = 1,467,492,382,801/564,755
  6. Step 6: Final answer
    x = 2,598,458.42

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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.