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Finding the Third Proportional to 862,364 and 1,814,100

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Solution

The third proportional to 862,364 and 1,814,100 is: 3,816,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,364 : 1,814,100 = 1,814,100 : x
  2. Step 2: Convert to fraction form
    862,364/1,814,100 = 1,814,100/x
  3. Step 3: Cross multiply
    862,364x = 1,814,100 × 1,814,100
  4. Step 4: Simplify right side
    862,364x = 3,290,958,810,000
  5. Step 5: Solve for x
    x = 3,290,958,810,000/862,364
  6. Step 6: Final answer
    x = 3,816,206.16

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.