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Finding the Third Proportional to 593,745 and 1,208,226

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Solution

The third proportional to 593,745 and 1,208,226 is: 2,458,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,745 : 1,208,226 = 1,208,226 : x
  2. Step 2: Convert to fraction form
    593,745/1,208,226 = 1,208,226/x
  3. Step 3: Cross multiply
    593,745x = 1,208,226 × 1,208,226
  4. Step 4: Simplify right side
    593,745x = 1,459,810,067,076
  5. Step 5: Solve for x
    x = 1,459,810,067,076/593,745
  6. Step 6: Final answer
    x = 2,458,648.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.