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Finding the Third Proportional to 666,856 and 1,437,968

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Solution

The third proportional to 666,856 and 1,437,968 is: 3,100,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,856 : 1,437,968 = 1,437,968 : x
  2. Step 2: Convert to fraction form
    666,856/1,437,968 = 1,437,968/x
  3. Step 3: Cross multiply
    666,856x = 1,437,968 × 1,437,968
  4. Step 4: Simplify right side
    666,856x = 2,067,751,969,024
  5. Step 5: Solve for x
    x = 2,067,751,969,024/666,856
  6. Step 6: Final answer
    x = 3,100,747.34

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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.