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Finding the Third Proportional to 1,689,972 and 3,757,788

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Solution

The third proportional to 1,689,972 and 3,757,788 is: 8,355,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,972 : 3,757,788 = 3,757,788 : x
  2. Step 2: Convert to fraction form
    1,689,972/3,757,788 = 3,757,788/x
  3. Step 3: Cross multiply
    1,689,972x = 3,757,788 × 3,757,788
  4. Step 4: Simplify right side
    1,689,972x = 14,120,970,652,944
  5. Step 5: Solve for x
    x = 14,120,970,652,944/1,689,972
  6. Step 6: Final answer
    x = 8,355,742.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.