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Finding the Third Proportional to 613,538.30 and 1,318,154.77

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Solution

The third proportional to 613,538.30 and 1,318,154.77 is: 2,831,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,538.30 : 1,318,154.77 = 1,318,154.77 : x
  2. Step 2: Convert to fraction form
    613,538.30/1,318,154.77 = 1,318,154.77/x
  3. Step 3: Cross multiply
    613,538.30x = 1,318,154.77 × 1,318,154.77
  4. Step 4: Simplify right side
    613,538.30x = 1,737,531,986,139.90
  5. Step 5: Solve for x
    x = 1,737,531,986,139.90/613,538.30
  6. Step 6: Final answer
    x = 2,831,986.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.