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Finding the Third Proportional to 814,293 and 1,070,793

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Solution

The third proportional to 814,293 and 1,070,793 is: 1,408,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,293 : 1,070,793 = 1,070,793 : x
  2. Step 2: Convert to fraction form
    814,293/1,070,793 = 1,070,793/x
  3. Step 3: Cross multiply
    814,293x = 1,070,793 × 1,070,793
  4. Step 4: Simplify right side
    814,293x = 1,146,597,648,849
  5. Step 5: Solve for x
    x = 1,146,597,648,849/814,293
  6. Step 6: Final answer
    x = 1,408,089.78

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.