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Finding the Third Proportional to 429,882 and 1,011,147

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Solution

The third proportional to 429,882 and 1,011,147 is: 2,378,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,882 : 1,011,147 = 1,011,147 : x
  2. Step 2: Convert to fraction form
    429,882/1,011,147 = 1,011,147/x
  3. Step 3: Cross multiply
    429,882x = 1,011,147 × 1,011,147
  4. Step 4: Simplify right side
    429,882x = 1,022,418,255,609
  5. Step 5: Solve for x
    x = 1,022,418,255,609/429,882
  6. Step 6: Final answer
    x = 2,378,369.54

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.