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Finding the Third Proportional to 831,835.50 and 1,242,209.25

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Solution

The third proportional to 831,835.50 and 1,242,209.25 is: 1,855,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,835.50 : 1,242,209.25 = 1,242,209.25 : x
  2. Step 2: Convert to fraction form
    831,835.50/1,242,209.25 = 1,242,209.25/x
  3. Step 3: Cross multiply
    831,835.50x = 1,242,209.25 × 1,242,209.25
  4. Step 4: Simplify right side
    831,835.50x = 1,543,083,820,785.56
  5. Step 5: Solve for x
    x = 1,543,083,820,785.56/831,835.50
  6. Step 6: Final answer
    x = 1,855,034.82

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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.