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Finding the Third Proportional to 834,072.75 and 1,822,531.50

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Solution

The third proportional to 834,072.75 and 1,822,531.50 is: 3,982,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,072.75 : 1,822,531.50 = 1,822,531.50 : x
  2. Step 2: Convert to fraction form
    834,072.75/1,822,531.50 = 1,822,531.50/x
  3. Step 3: Cross multiply
    834,072.75x = 1,822,531.50 × 1,822,531.50
  4. Step 4: Simplify right side
    834,072.75x = 3,321,621,068,492.25
  5. Step 5: Solve for x
    x = 3,321,621,068,492.25/834,072.75
  6. Step 6: Final answer
    x = 3,982,411.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.