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Finding the Third Proportional to 665,167 and 1,507,912

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Solution

The third proportional to 665,167 and 1,507,912 is: 3,418,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,167 : 1,507,912 = 1,507,912 : x
  2. Step 2: Convert to fraction form
    665,167/1,507,912 = 1,507,912/x
  3. Step 3: Cross multiply
    665,167x = 1,507,912 × 1,507,912
  4. Step 4: Simplify right side
    665,167x = 2,273,798,599,744
  5. Step 5: Solve for x
    x = 2,273,798,599,744/665,167
  6. Step 6: Final answer
    x = 3,418,387.56

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.