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Finding the Third Proportional to 831,847.50 and 1,242,227.25

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Solution

The third proportional to 831,847.50 and 1,242,227.25 is: 1,855,061.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,847.50 : 1,242,227.25 = 1,242,227.25 : x
  2. Step 2: Convert to fraction form
    831,847.50/1,242,227.25 = 1,242,227.25/x
  3. Step 3: Cross multiply
    831,847.50x = 1,242,227.25 × 1,242,227.25
  4. Step 4: Simplify right side
    831,847.50x = 1,543,128,540,642.56
  5. Step 5: Solve for x
    x = 1,543,128,540,642.56/831,847.50
  6. Step 6: Final answer
    x = 1,855,061.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.