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Finding the Third Proportional to 1,538,224 and 2,387,972

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Solution

The third proportional to 1,538,224 and 2,387,972 is: 3,707,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,224 : 2,387,972 = 2,387,972 : x
  2. Step 2: Convert to fraction form
    1,538,224/2,387,972 = 2,387,972/x
  3. Step 3: Cross multiply
    1,538,224x = 2,387,972 × 2,387,972
  4. Step 4: Simplify right side
    1,538,224x = 5,702,410,272,784
  5. Step 5: Solve for x
    x = 5,702,410,272,784/1,538,224
  6. Step 6: Final answer
    x = 3,707,139.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.