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Finding the Third Proportional to 593,274 and 1,228,605

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Solution

The third proportional to 593,274 and 1,228,605 is: 2,544,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,274 : 1,228,605 = 1,228,605 : x
  2. Step 2: Convert to fraction form
    593,274/1,228,605 = 1,228,605/x
  3. Step 3: Cross multiply
    593,274x = 1,228,605 × 1,228,605
  4. Step 4: Simplify right side
    593,274x = 1,509,470,246,025
  5. Step 5: Solve for x
    x = 1,509,470,246,025/593,274
  6. Step 6: Final answer
    x = 2,544,305.41

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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.