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Finding the Third Proportional to 767,185 and 1,135,909

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Solution

The third proportional to 767,185 and 1,135,909 is: 1,681,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,185 : 1,135,909 = 1,135,909 : x
  2. Step 2: Convert to fraction form
    767,185/1,135,909 = 1,135,909/x
  3. Step 3: Cross multiply
    767,185x = 1,135,909 × 1,135,909
  4. Step 4: Simplify right side
    767,185x = 1,290,289,256,281
  5. Step 5: Solve for x
    x = 1,290,289,256,281/767,185
  6. Step 6: Final answer
    x = 1,681,848.91

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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.