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Finding the Third Proportional to 802,892 and 1,174,195

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Solution

The third proportional to 802,892 and 1,174,195 is: 1,717,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,892 : 1,174,195 = 1,174,195 : x
  2. Step 2: Convert to fraction form
    802,892/1,174,195 = 1,174,195/x
  3. Step 3: Cross multiply
    802,892x = 1,174,195 × 1,174,195
  4. Step 4: Simplify right side
    802,892x = 1,378,733,898,025
  5. Step 5: Solve for x
    x = 1,378,733,898,025/802,892
  6. Step 6: Final answer
    x = 1,717,209.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.