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Finding the Third Proportional to 1,682,344.69 and 2,467,302.19

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Solution

The third proportional to 1,682,344.69 and 2,467,302.19 is: 3,618,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,344.69 : 2,467,302.19 = 2,467,302.19 : x
  2. Step 2: Convert to fraction form
    1,682,344.69/2,467,302.19 = 2,467,302.19/x
  3. Step 3: Cross multiply
    1,682,344.69x = 2,467,302.19 × 2,467,302.19
  4. Step 4: Simplify right side
    1,682,344.69x = 6,087,580,084,442.29
  5. Step 5: Solve for x
    x = 6,087,580,084,442.29/1,682,344.69
  6. Step 6: Final answer
    x = 3,618,509.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.