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Finding the Third Proportional to 2,150,740 and 4,692,772

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Solution

The third proportional to 2,150,740 and 4,692,772 is: 10,239,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,740 : 4,692,772 = 4,692,772 : x
  2. Step 2: Convert to fraction form
    2,150,740/4,692,772 = 4,692,772/x
  3. Step 3: Cross multiply
    2,150,740x = 4,692,772 × 4,692,772
  4. Step 4: Simplify right side
    2,150,740x = 22,022,109,043,984
  5. Step 5: Solve for x
    x = 22,022,109,043,984/2,150,740
  6. Step 6: Final answer
    x = 10,239,317.19

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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.