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Finding the Third Proportional to 834,138 and 1,821,180

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Solution

The third proportional to 834,138 and 1,821,180 is: 3,976,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,138 : 1,821,180 = 1,821,180 : x
  2. Step 2: Convert to fraction form
    834,138/1,821,180 = 1,821,180/x
  3. Step 3: Cross multiply
    834,138x = 1,821,180 × 1,821,180
  4. Step 4: Simplify right side
    834,138x = 3,316,696,592,400
  5. Step 5: Solve for x
    x = 3,316,696,592,400/834,138
  6. Step 6: Final answer
    x = 3,976,196.50

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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.