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Finding the Third Proportional to 613,564.88 and 1,318,209.19

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Solution

The third proportional to 613,564.88 and 1,318,209.19 is: 2,832,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,564.88 : 1,318,209.19 = 1,318,209.19 : x
  2. Step 2: Convert to fraction form
    613,564.88/1,318,209.19 = 1,318,209.19/x
  3. Step 3: Cross multiply
    613,564.88x = 1,318,209.19 × 1,318,209.19
  4. Step 4: Simplify right side
    613,564.88x = 1,737,675,462,009.41
  5. Step 5: Solve for x
    x = 1,737,675,462,009.41/613,564.88
  6. Step 6: Final answer
    x = 2,832,097.36

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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.