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Finding the Third Proportional to 965,784 and 2,099,496

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Solution

The third proportional to 965,784 and 2,099,496 is: 4,564,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,784 : 2,099,496 = 2,099,496 : x
  2. Step 2: Convert to fraction form
    965,784/2,099,496 = 2,099,496/x
  3. Step 3: Cross multiply
    965,784x = 2,099,496 × 2,099,496
  4. Step 4: Simplify right side
    965,784x = 4,407,883,454,016
  5. Step 5: Solve for x
    x = 4,407,883,454,016/965,784
  6. Step 6: Final answer
    x = 4,564,046.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.