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Finding the Third Proportional to 686,222 and 1,512,052

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Solution

The third proportional to 686,222 and 1,512,052 is: 3,331,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,222 : 1,512,052 = 1,512,052 : x
  2. Step 2: Convert to fraction form
    686,222/1,512,052 = 1,512,052/x
  3. Step 3: Cross multiply
    686,222x = 1,512,052 × 1,512,052
  4. Step 4: Simplify right side
    686,222x = 2,286,301,250,704
  5. Step 5: Solve for x
    x = 2,286,301,250,704/686,222
  6. Step 6: Final answer
    x = 3,331,722.46

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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.