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Finding the Third Proportional to 593,424 and 1,228,320

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Solution

The third proportional to 593,424 and 1,228,320 is: 2,542,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,424 : 1,228,320 = 1,228,320 : x
  2. Step 2: Convert to fraction form
    593,424/1,228,320 = 1,228,320/x
  3. Step 3: Cross multiply
    593,424x = 1,228,320 × 1,228,320
  4. Step 4: Simplify right side
    593,424x = 1,508,770,022,400
  5. Step 5: Solve for x
    x = 1,508,770,022,400/593,424
  6. Step 6: Final answer
    x = 2,542,482.31

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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.