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Finding the Third Proportional to 2,099,776 and 4,496,966

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Solution

The third proportional to 2,099,776 and 4,496,966 is: 9,630,885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,776 : 4,496,966 = 4,496,966 : x
  2. Step 2: Convert to fraction form
    2,099,776/4,496,966 = 4,496,966/x
  3. Step 3: Cross multiply
    2,099,776x = 4,496,966 × 4,496,966
  4. Step 4: Simplify right side
    2,099,776x = 20,222,703,205,156
  5. Step 5: Solve for x
    x = 20,222,703,205,156/2,099,776
  6. Step 6: Final answer
    x = 9,630,885.96

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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.