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Finding the Third Proportional to 427,476 and 914,232

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Solution

The third proportional to 427,476 and 914,232 is: 1,955,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,476 : 914,232 = 914,232 : x
  2. Step 2: Convert to fraction form
    427,476/914,232 = 914,232/x
  3. Step 3: Cross multiply
    427,476x = 914,232 × 914,232
  4. Step 4: Simplify right side
    427,476x = 835,820,149,824
  5. Step 5: Solve for x
    x = 835,820,149,824/427,476
  6. Step 6: Final answer
    x = 1,955,244.62

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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.