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Finding the Third Proportional to 563,900 and 1,269,750

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Solution

The third proportional to 563,900 and 1,269,750 is: 2,859,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,900 : 1,269,750 = 1,269,750 : x
  2. Step 2: Convert to fraction form
    563,900/1,269,750 = 1,269,750/x
  3. Step 3: Cross multiply
    563,900x = 1,269,750 × 1,269,750
  4. Step 4: Simplify right side
    563,900x = 1,612,265,062,500
  5. Step 5: Solve for x
    x = 1,612,265,062,500/563,900
  6. Step 6: Final answer
    x = 2,859,132.94

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.