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Finding the Third Proportional to 914,328 and 2,102,832

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Solution

The third proportional to 914,328 and 2,102,832 is: 4,836,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,328 : 2,102,832 = 2,102,832 : x
  2. Step 2: Convert to fraction form
    914,328/2,102,832 = 2,102,832/x
  3. Step 3: Cross multiply
    914,328x = 2,102,832 × 2,102,832
  4. Step 4: Simplify right side
    914,328x = 4,421,902,420,224
  5. Step 5: Solve for x
    x = 4,421,902,420,224/914,328
  6. Step 6: Final answer
    x = 4,836,232.10

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.