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Finding the Third Proportional to 427,378 and 914,048

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Solution

The third proportional to 427,378 and 914,048 is: 1,954,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,378 : 914,048 = 914,048 : x
  2. Step 2: Convert to fraction form
    427,378/914,048 = 914,048/x
  3. Step 3: Cross multiply
    427,378x = 914,048 × 914,048
  4. Step 4: Simplify right side
    427,378x = 835,483,746,304
  5. Step 5: Solve for x
    x = 835,483,746,304/427,378
  6. Step 6: Final answer
    x = 1,954,905.84

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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.