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Finding the Third Proportional to 852,025 and 1,836,910

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Solution

The third proportional to 852,025 and 1,836,910 is: 3,960,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,025 : 1,836,910 = 1,836,910 : x
  2. Step 2: Convert to fraction form
    852,025/1,836,910 = 1,836,910/x
  3. Step 3: Cross multiply
    852,025x = 1,836,910 × 1,836,910
  4. Step 4: Simplify right side
    852,025x = 3,374,238,348,100
  5. Step 5: Solve for x
    x = 3,374,238,348,100/852,025
  6. Step 6: Final answer
    x = 3,960,257.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.