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Finding the Third Proportional to 593,214 and 1,399,743

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Solution

The third proportional to 593,214 and 1,399,743 is: 3,302,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,214 : 1,399,743 = 1,399,743 : x
  2. Step 2: Convert to fraction form
    593,214/1,399,743 = 1,399,743/x
  3. Step 3: Cross multiply
    593,214x = 1,399,743 × 1,399,743
  4. Step 4: Simplify right side
    593,214x = 1,959,280,466,049
  5. Step 5: Solve for x
    x = 1,959,280,466,049/593,214
  6. Step 6: Final answer
    x = 3,302,822.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.