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Finding the Third Proportional to 508,212 and 1,086,432

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Solution

The third proportional to 508,212 and 1,086,432 is: 2,322,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,212 : 1,086,432 = 1,086,432 : x
  2. Step 2: Convert to fraction form
    508,212/1,086,432 = 1,086,432/x
  3. Step 3: Cross multiply
    508,212x = 1,086,432 × 1,086,432
  4. Step 4: Simplify right side
    508,212x = 1,180,334,490,624
  5. Step 5: Solve for x
    x = 1,180,334,490,624/508,212
  6. Step 6: Final answer
    x = 2,322,523.85

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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.