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Finding the Third Proportional to 2,243,814 and 4,829,772

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Solution

The third proportional to 2,243,814 and 4,829,772 is: 10,396,003.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,814 : 4,829,772 = 4,829,772 : x
  2. Step 2: Convert to fraction form
    2,243,814/4,829,772 = 4,829,772/x
  3. Step 3: Cross multiply
    2,243,814x = 4,829,772 × 4,829,772
  4. Step 4: Simplify right side
    2,243,814x = 23,326,697,571,984
  5. Step 5: Solve for x
    x = 23,326,697,571,984/2,243,814
  6. Step 6: Final answer
    x = 10,396,003.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.