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Finding the Third Proportional to 813,208 and 1,717,964

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Solution

The third proportional to 813,208 and 1,717,964 is: 3,629,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,208 : 1,717,964 = 1,717,964 : x
  2. Step 2: Convert to fraction form
    813,208/1,717,964 = 1,717,964/x
  3. Step 3: Cross multiply
    813,208x = 1,717,964 × 1,717,964
  4. Step 4: Simplify right side
    813,208x = 2,951,400,305,296
  5. Step 5: Solve for x
    x = 2,951,400,305,296/813,208
  6. Step 6: Final answer
    x = 3,629,330.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.