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Finding the Third Proportional to 2,100,458 and 4,277,961

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Solution

The third proportional to 2,100,458 and 4,277,961 is: 8,712,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,458 : 4,277,961 = 4,277,961 : x
  2. Step 2: Convert to fraction form
    2,100,458/4,277,961 = 4,277,961/x
  3. Step 3: Cross multiply
    2,100,458x = 4,277,961 × 4,277,961
  4. Step 4: Simplify right side
    2,100,458x = 18,300,950,317,521
  5. Step 5: Solve for x
    x = 18,300,950,317,521/2,100,458
  6. Step 6: Final answer
    x = 8,712,838.02

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.