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Finding the Third Proportional to 1,614,394.50 and 3,396,093

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Solution

The third proportional to 1,614,394.50 and 3,396,093 is: 7,144,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,394.50 : 3,396,093 = 3,396,093 : x
  2. Step 2: Convert to fraction form
    1,614,394.50/3,396,093 = 3,396,093/x
  3. Step 3: Cross multiply
    1,614,394.50x = 3,396,093 × 3,396,093
  4. Step 4: Simplify right side
    1,614,394.50x = 11,533,447,664,649
  5. Step 5: Solve for x
    x = 11,533,447,664,649/1,614,394.50
  6. Step 6: Final answer
    x = 7,144,132.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.