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Finding the Third Proportional to 593,892 and 956,205

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Solution

The third proportional to 593,892 and 956,205 is: 1,539,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,892 : 956,205 = 956,205 : x
  2. Step 2: Convert to fraction form
    593,892/956,205 = 956,205/x
  3. Step 3: Cross multiply
    593,892x = 956,205 × 956,205
  4. Step 4: Simplify right side
    593,892x = 914,328,002,025
  5. Step 5: Solve for x
    x = 914,328,002,025/593,892
  6. Step 6: Final answer
    x = 1,539,552.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.