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Finding the Third Proportional to 2,150,953 and 4,681,229

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Solution

The third proportional to 2,150,953 and 4,681,229 is: 10,187,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,953 : 4,681,229 = 4,681,229 : x
  2. Step 2: Convert to fraction form
    2,150,953/4,681,229 = 4,681,229/x
  3. Step 3: Cross multiply
    2,150,953x = 4,681,229 × 4,681,229
  4. Step 4: Simplify right side
    2,150,953x = 21,913,904,950,441
  5. Step 5: Solve for x
    x = 21,913,904,950,441/2,150,953
  6. Step 6: Final answer
    x = 10,187,998.04

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