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Finding the Third Proportional to 1,017,224 and 1,538,928

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Solution

The third proportional to 1,017,224 and 1,538,928 is: 2,328,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,224 : 1,538,928 = 1,538,928 : x
  2. Step 2: Convert to fraction form
    1,017,224/1,538,928 = 1,538,928/x
  3. Step 3: Cross multiply
    1,017,224x = 1,538,928 × 1,538,928
  4. Step 4: Simplify right side
    1,017,224x = 2,368,299,389,184
  5. Step 5: Solve for x
    x = 2,368,299,389,184/1,017,224
  6. Step 6: Final answer
    x = 2,328,198.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.