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Finding the Third Proportional to 423,381 and 913,233

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Solution

The third proportional to 423,381 and 913,233 is: 1,969,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,381 : 913,233 = 913,233 : x
  2. Step 2: Convert to fraction form
    423,381/913,233 = 913,233/x
  3. Step 3: Cross multiply
    423,381x = 913,233 × 913,233
  4. Step 4: Simplify right side
    423,381x = 833,994,512,289
  5. Step 5: Solve for x
    x = 833,994,512,289/423,381
  6. Step 6: Final answer
    x = 1,969,843.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.