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Finding the Third Proportional to 593,534 and 1,257,694

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Solution

The third proportional to 593,534 and 1,257,694 is: 2,665,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,534 : 1,257,694 = 1,257,694 : x
  2. Step 2: Convert to fraction form
    593,534/1,257,694 = 1,257,694/x
  3. Step 3: Cross multiply
    593,534x = 1,257,694 × 1,257,694
  4. Step 4: Simplify right side
    593,534x = 1,581,794,197,636
  5. Step 5: Solve for x
    x = 1,581,794,197,636/593,534
  6. Step 6: Final answer
    x = 2,665,043.95

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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.