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Finding the Third Proportional to 766,125 and 1,664,928

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Solution

The third proportional to 766,125 and 1,664,928 is: 3,618,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,125 : 1,664,928 = 1,664,928 : x
  2. Step 2: Convert to fraction form
    766,125/1,664,928 = 1,664,928/x
  3. Step 3: Cross multiply
    766,125x = 1,664,928 × 1,664,928
  4. Step 4: Simplify right side
    766,125x = 2,771,985,245,184
  5. Step 5: Solve for x
    x = 2,771,985,245,184/766,125
  6. Step 6: Final answer
    x = 3,618,189.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.