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Finding the Third Proportional to 508,331 and 1,086,466

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Solution

The third proportional to 508,331 and 1,086,466 is: 2,322,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,331 : 1,086,466 = 1,086,466 : x
  2. Step 2: Convert to fraction form
    508,331/1,086,466 = 1,086,466/x
  3. Step 3: Cross multiply
    508,331x = 1,086,466 × 1,086,466
  4. Step 4: Simplify right side
    508,331x = 1,180,408,369,156
  5. Step 5: Solve for x
    x = 1,180,408,369,156/508,331
  6. Step 6: Final answer
    x = 2,322,125.48

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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.