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Finding the Third Proportional to 666,682 and 1,437,610

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Solution

The third proportional to 666,682 and 1,437,610 is: 3,100,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,682 : 1,437,610 = 1,437,610 : x
  2. Step 2: Convert to fraction form
    666,682/1,437,610 = 1,437,610/x
  3. Step 3: Cross multiply
    666,682x = 1,437,610 × 1,437,610
  4. Step 4: Simplify right side
    666,682x = 2,066,722,512,100
  5. Step 5: Solve for x
    x = 2,066,722,512,100/666,682
  6. Step 6: Final answer
    x = 3,100,012.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.