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Finding the Third Proportional to 593,525 and 1,257,676

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Solution

The third proportional to 593,525 and 1,257,676 is: 2,665,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,525 : 1,257,676 = 1,257,676 : x
  2. Step 2: Convert to fraction form
    593,525/1,257,676 = 1,257,676/x
  3. Step 3: Cross multiply
    593,525x = 1,257,676 × 1,257,676
  4. Step 4: Simplify right side
    593,525x = 1,581,748,920,976
  5. Step 5: Solve for x
    x = 1,581,748,920,976/593,525
  6. Step 6: Final answer
    x = 2,665,008.08

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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.