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Finding the Third Proportional to 593,122 and 1,228,298

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Solution

The third proportional to 593,122 and 1,228,298 is: 2,543,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,122 : 1,228,298 = 1,228,298 : x
  2. Step 2: Convert to fraction form
    593,122/1,228,298 = 1,228,298/x
  3. Step 3: Cross multiply
    593,122x = 1,228,298 × 1,228,298
  4. Step 4: Simplify right side
    593,122x = 1,508,715,976,804
  5. Step 5: Solve for x
    x = 1,508,715,976,804/593,122
  6. Step 6: Final answer
    x = 2,543,685.75

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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.