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Finding the Third Proportional to 2,171,066 and 4,640,914

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Solution

The third proportional to 2,171,066 and 4,640,914 is: 9,920,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,066 : 4,640,914 = 4,640,914 : x
  2. Step 2: Convert to fraction form
    2,171,066/4,640,914 = 4,640,914/x
  3. Step 3: Cross multiply
    2,171,066x = 4,640,914 × 4,640,914
  4. Step 4: Simplify right side
    2,171,066x = 21,538,082,755,396
  5. Step 5: Solve for x
    x = 21,538,082,755,396/2,171,066
  6. Step 6: Final answer
    x = 9,920,510.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.