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Finding the Third Proportional to 3,685,907.50 and 5,496,897

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Solution

The third proportional to 3,685,907.50 and 5,496,897 is: 8,197,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685,907.50 : 5,496,897 = 5,496,897 : x
  2. Step 2: Convert to fraction form
    3,685,907.50/5,496,897 = 5,496,897/x
  3. Step 3: Cross multiply
    3,685,907.50x = 5,496,897 × 5,496,897
  4. Step 4: Simplify right side
    3,685,907.50x = 30,215,876,628,609
  5. Step 5: Solve for x
    x = 30,215,876,628,609/3,685,907.50
  6. Step 6: Final answer
    x = 8,197,676.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.