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Finding the Third Proportional to 593,533 and 1,257,692

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Solution

The third proportional to 593,533 and 1,257,692 is: 2,665,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,533 : 1,257,692 = 1,257,692 : x
  2. Step 2: Convert to fraction form
    593,533/1,257,692 = 1,257,692/x
  3. Step 3: Cross multiply
    593,533x = 1,257,692 × 1,257,692
  4. Step 4: Simplify right side
    593,533x = 1,581,789,166,864
  5. Step 5: Solve for x
    x = 1,581,789,166,864/593,533
  6. Step 6: Final answer
    x = 2,665,039.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.