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Finding the Third Proportional to 834,469.50 and 1,787,034

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Solution

The third proportional to 834,469.50 and 1,787,034 is: 3,826,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,469.50 : 1,787,034 = 1,787,034 : x
  2. Step 2: Convert to fraction form
    834,469.50/1,787,034 = 1,787,034/x
  3. Step 3: Cross multiply
    834,469.50x = 1,787,034 × 1,787,034
  4. Step 4: Simplify right side
    834,469.50x = 3,193,490,517,156
  5. Step 5: Solve for x
    x = 3,193,490,517,156/834,469.50
  6. Step 6: Final answer
    x = 3,826,970.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.