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Finding the Third Proportional to 2,238,016 and 4,829,840

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Solution

The third proportional to 2,238,016 and 4,829,840 is: 10,423,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238,016 : 4,829,840 = 4,829,840 : x
  2. Step 2: Convert to fraction form
    2,238,016/4,829,840 = 4,829,840/x
  3. Step 3: Cross multiply
    2,238,016x = 4,829,840 × 4,829,840
  4. Step 4: Simplify right side
    2,238,016x = 23,327,354,425,600
  5. Step 5: Solve for x
    x = 23,327,354,425,600/2,238,016
  6. Step 6: Final answer
    x = 10,423,229.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.