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Finding the Third Proportional to 834,016 and 1,820,960

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Solution

The third proportional to 834,016 and 1,820,960 is: 3,975,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,016 : 1,820,960 = 1,820,960 : x
  2. Step 2: Convert to fraction form
    834,016/1,820,960 = 1,820,960/x
  3. Step 3: Cross multiply
    834,016x = 1,820,960 × 1,820,960
  4. Step 4: Simplify right side
    834,016x = 3,315,895,321,600
  5. Step 5: Solve for x
    x = 3,315,895,321,600/834,016
  6. Step 6: Final answer
    x = 3,975,817.40

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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.