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Finding the Third Proportional to 1,180,728 and 2,533,464

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Solution

The third proportional to 1,180,728 and 2,533,464 is: 5,436,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,728 : 2,533,464 = 2,533,464 : x
  2. Step 2: Convert to fraction form
    1,180,728/2,533,464 = 2,533,464/x
  3. Step 3: Cross multiply
    1,180,728x = 2,533,464 × 2,533,464
  4. Step 4: Simplify right side
    1,180,728x = 6,418,439,839,296
  5. Step 5: Solve for x
    x = 6,418,439,839,296/1,180,728
  6. Step 6: Final answer
    x = 5,436,002.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.