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Finding the Third Proportional to 1,361,569.50 and 2,933,202.38

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Solution

The third proportional to 1,361,569.50 and 2,933,202.38 is: 6,318,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,569.50 : 2,933,202.38 = 2,933,202.38 : x
  2. Step 2: Convert to fraction form
    1,361,569.50/2,933,202.38 = 2,933,202.38/x
  3. Step 3: Cross multiply
    1,361,569.50x = 2,933,202.38 × 2,933,202.38
  4. Step 4: Simplify right side
    1,361,569.50x = 8,603,676,172,705.64
  5. Step 5: Solve for x
    x = 8,603,676,172,705.64/1,361,569.50
  6. Step 6: Final answer
    x = 6,318,940.14

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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.