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Finding the Third Proportional to 667,166 and 1,458,928

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Solution

The third proportional to 667,166 and 1,458,928 is: 3,190,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,166 : 1,458,928 = 1,458,928 : x
  2. Step 2: Convert to fraction form
    667,166/1,458,928 = 1,458,928/x
  3. Step 3: Cross multiply
    667,166x = 1,458,928 × 1,458,928
  4. Step 4: Simplify right side
    667,166x = 2,128,470,909,184
  5. Step 5: Solve for x
    x = 2,128,470,909,184/667,166
  6. Step 6: Final answer
    x = 3,190,316.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.