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Finding the Third Proportional to 666,686 and 1,437,619

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Solution

The third proportional to 666,686 and 1,437,619 is: 3,100,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,686 : 1,437,619 = 1,437,619 : x
  2. Step 2: Convert to fraction form
    666,686/1,437,619 = 1,437,619/x
  3. Step 3: Cross multiply
    666,686x = 1,437,619 × 1,437,619
  4. Step 4: Simplify right side
    666,686x = 2,066,748,389,161
  5. Step 5: Solve for x
    x = 2,066,748,389,161/666,686
  6. Step 6: Final answer
    x = 3,100,032.68

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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.