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Finding the Third Proportional to 834,016 and 1,820,961.50

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Solution

The third proportional to 834,016 and 1,820,961.50 is: 3,975,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,016 : 1,820,961.50 = 1,820,961.50 : x
  2. Step 2: Convert to fraction form
    834,016/1,820,961.50 = 1,820,961.50/x
  3. Step 3: Cross multiply
    834,016x = 1,820,961.50 × 1,820,961.50
  4. Step 4: Simplify right side
    834,016x = 3,315,900,784,482.25
  5. Step 5: Solve for x
    x = 3,315,900,784,482.25/834,016
  6. Step 6: Final answer
    x = 3,975,823.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.