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Finding the Third Proportional to 666,218 and 1,465,296

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Solution

The third proportional to 666,218 and 1,465,296 is: 3,222,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,218 : 1,465,296 = 1,465,296 : x
  2. Step 2: Convert to fraction form
    666,218/1,465,296 = 1,465,296/x
  3. Step 3: Cross multiply
    666,218x = 1,465,296 × 1,465,296
  4. Step 4: Simplify right side
    666,218x = 2,147,092,367,616
  5. Step 5: Solve for x
    x = 2,147,092,367,616/666,218
  6. Step 6: Final answer
    x = 3,222,807.50

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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.