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Finding the Third Proportional to 1,441,289 and 3,136,270

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Solution

The third proportional to 1,441,289 and 3,136,270 is: 6,824,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,289 : 3,136,270 = 3,136,270 : x
  2. Step 2: Convert to fraction form
    1,441,289/3,136,270 = 3,136,270/x
  3. Step 3: Cross multiply
    1,441,289x = 3,136,270 × 3,136,270
  4. Step 4: Simplify right side
    1,441,289x = 9,836,189,512,900
  5. Step 5: Solve for x
    x = 9,836,189,512,900/1,441,289
  6. Step 6: Final answer
    x = 6,824,578.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.