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Finding the Third Proportional to 593,269 and 1,228,593

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Solution

The third proportional to 593,269 and 1,228,593 is: 2,544,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,269 : 1,228,593 = 1,228,593 : x
  2. Step 2: Convert to fraction form
    593,269/1,228,593 = 1,228,593/x
  3. Step 3: Cross multiply
    593,269x = 1,228,593 × 1,228,593
  4. Step 4: Simplify right side
    593,269x = 1,509,440,759,649
  5. Step 5: Solve for x
    x = 1,509,440,759,649/593,269
  6. Step 6: Final answer
    x = 2,544,277.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.