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Finding the Third Proportional to 966,032 and 1,419,493

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Solution

The third proportional to 966,032 and 1,419,493 is: 2,085,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,032 : 1,419,493 = 1,419,493 : x
  2. Step 2: Convert to fraction form
    966,032/1,419,493 = 1,419,493/x
  3. Step 3: Cross multiply
    966,032x = 1,419,493 × 1,419,493
  4. Step 4: Simplify right side
    966,032x = 2,014,960,377,049
  5. Step 5: Solve for x
    x = 2,014,960,377,049/966,032
  6. Step 6: Final answer
    x = 2,085,811.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.