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Finding the Third Proportional to 508,208 and 1,086,424

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Solution

The third proportional to 508,208 and 1,086,424 is: 2,322,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,208 : 1,086,424 = 1,086,424 : x
  2. Step 2: Convert to fraction form
    508,208/1,086,424 = 1,086,424/x
  3. Step 3: Cross multiply
    508,208x = 1,086,424 × 1,086,424
  4. Step 4: Simplify right side
    508,208x = 1,180,317,107,776
  5. Step 5: Solve for x
    x = 1,180,317,107,776/508,208
  6. Step 6: Final answer
    x = 2,322,507.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.