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Finding the Third Proportional to 666,241 and 1,465,311

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Solution

The third proportional to 666,241 and 1,465,311 is: 3,222,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,241 : 1,465,311 = 1,465,311 : x
  2. Step 2: Convert to fraction form
    666,241/1,465,311 = 1,465,311/x
  3. Step 3: Cross multiply
    666,241x = 1,465,311 × 1,465,311
  4. Step 4: Simplify right side
    666,241x = 2,147,136,326,721
  5. Step 5: Solve for x
    x = 2,147,136,326,721/666,241
  6. Step 6: Final answer
    x = 3,222,762.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.