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Finding the Third Proportional to 899,540 and 1,286,353

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Solution

The third proportional to 899,540 and 1,286,353 is: 1,839,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,540 : 1,286,353 = 1,286,353 : x
  2. Step 2: Convert to fraction form
    899,540/1,286,353 = 1,286,353/x
  3. Step 3: Cross multiply
    899,540x = 1,286,353 × 1,286,353
  4. Step 4: Simplify right side
    899,540x = 1,654,704,040,609
  5. Step 5: Solve for x
    x = 1,654,704,040,609/899,540
  6. Step 6: Final answer
    x = 1,839,500.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.