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Finding the Third Proportional to 834,156 and 1,834,200

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Solution

The third proportional to 834,156 and 1,834,200 is: 4,033,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,156 : 1,834,200 = 1,834,200 : x
  2. Step 2: Convert to fraction form
    834,156/1,834,200 = 1,834,200/x
  3. Step 3: Cross multiply
    834,156x = 1,834,200 × 1,834,200
  4. Step 4: Simplify right side
    834,156x = 3,364,289,640,000
  5. Step 5: Solve for x
    x = 3,364,289,640,000/834,156
  6. Step 6: Final answer
    x = 4,033,166.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.