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Finding the Third Proportional to 966,284 and 2,049,496

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Solution

The third proportional to 966,284 and 2,049,496 is: 4,346,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,284 : 2,049,496 = 2,049,496 : x
  2. Step 2: Convert to fraction form
    966,284/2,049,496 = 2,049,496/x
  3. Step 3: Cross multiply
    966,284x = 2,049,496 × 2,049,496
  4. Step 4: Simplify right side
    966,284x = 4,200,433,854,016
  5. Step 5: Solve for x
    x = 4,200,433,854,016/966,284
  6. Step 6: Final answer
    x = 4,346,997.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.