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Finding the Third Proportional to 966,766 and 2,073,496

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Solution

The third proportional to 966,766 and 2,073,496 is: 4,447,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,766 : 2,073,496 = 2,073,496 : x
  2. Step 2: Convert to fraction form
    966,766/2,073,496 = 2,073,496/x
  3. Step 3: Cross multiply
    966,766x = 2,073,496 × 2,073,496
  4. Step 4: Simplify right side
    966,766x = 4,299,385,662,016
  5. Step 5: Solve for x
    x = 4,299,385,662,016/966,766
  6. Step 6: Final answer
    x = 4,447,183.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.