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Finding the Third Proportional to 1,397,353.50 and 2,993,913

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Solution

The third proportional to 1,397,353.50 and 2,993,913 is: 6,414,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,353.50 : 2,993,913 = 2,993,913 : x
  2. Step 2: Convert to fraction form
    1,397,353.50/2,993,913 = 2,993,913/x
  3. Step 3: Cross multiply
    1,397,353.50x = 2,993,913 × 2,993,913
  4. Step 4: Simplify right side
    1,397,353.50x = 8,963,515,051,569
  5. Step 5: Solve for x
    x = 8,963,515,051,569/1,397,353.50
  6. Step 6: Final answer
    x = 6,414,636.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.