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Finding the Third Proportional to 831,816.75 and 1,242,181.13

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Solution

The third proportional to 831,816.75 and 1,242,181.13 is: 1,854,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,816.75 : 1,242,181.13 = 1,242,181.13 : x
  2. Step 2: Convert to fraction form
    831,816.75/1,242,181.13 = 1,242,181.13/x
  3. Step 3: Cross multiply
    831,816.75x = 1,242,181.13 × 1,242,181.13
  4. Step 4: Simplify right side
    831,816.75x = 1,543,013,947,306.27
  5. Step 5: Solve for x
    x = 1,543,013,947,306.27/831,816.75
  6. Step 6: Final answer
    x = 1,854,992.64

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Why These Related Problems?

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