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Finding the Third Proportional to 767,187 and 1,135,912

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Solution

The third proportional to 767,187 and 1,135,912 is: 1,681,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,187 : 1,135,912 = 1,135,912 : x
  2. Step 2: Convert to fraction form
    767,187/1,135,912 = 1,135,912/x
  3. Step 3: Cross multiply
    767,187x = 1,135,912 × 1,135,912
  4. Step 4: Simplify right side
    767,187x = 1,290,296,071,744
  5. Step 5: Solve for x
    x = 1,290,296,071,744/767,187
  6. Step 6: Final answer
    x = 1,681,853.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.