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Finding the Third Proportional to 738,224 and 1,609,862

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Solution

The third proportional to 738,224 and 1,609,862 is: 3,510,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,224 : 1,609,862 = 1,609,862 : x
  2. Step 2: Convert to fraction form
    738,224/1,609,862 = 1,609,862/x
  3. Step 3: Cross multiply
    738,224x = 1,609,862 × 1,609,862
  4. Step 4: Simplify right side
    738,224x = 2,591,655,659,044
  5. Step 5: Solve for x
    x = 2,591,655,659,044/738,224
  6. Step 6: Final answer
    x = 3,510,662.97

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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.