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Finding the Third Proportional to 508,302 and 1,086,408

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Solution

The third proportional to 508,302 and 1,086,408 is: 2,322,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,302 : 1,086,408 = 1,086,408 : x
  2. Step 2: Convert to fraction form
    508,302/1,086,408 = 1,086,408/x
  3. Step 3: Cross multiply
    508,302x = 1,086,408 × 1,086,408
  4. Step 4: Simplify right side
    508,302x = 1,180,282,342,464
  5. Step 5: Solve for x
    x = 1,180,282,342,464/508,302
  6. Step 6: Final answer
    x = 2,322,010.03

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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.