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Finding the Third Proportional to 997,107 and 2,174,627

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Solution

The third proportional to 997,107 and 2,174,627 is: 4,742,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,107 : 2,174,627 = 2,174,627 : x
  2. Step 2: Convert to fraction form
    997,107/2,174,627 = 2,174,627/x
  3. Step 3: Cross multiply
    997,107x = 2,174,627 × 2,174,627
  4. Step 4: Simplify right side
    997,107x = 4,729,002,589,129
  5. Step 5: Solve for x
    x = 4,729,002,589,129/997,107
  6. Step 6: Final answer
    x = 4,742,723.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.