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Finding the Third Proportional to 1,689,867 and 3,757,553

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Solution

The third proportional to 1,689,867 and 3,757,553 is: 8,355,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,867 : 3,757,553 = 3,757,553 : x
  2. Step 2: Convert to fraction form
    1,689,867/3,757,553 = 3,757,553/x
  3. Step 3: Cross multiply
    1,689,867x = 3,757,553 × 3,757,553
  4. Step 4: Simplify right side
    1,689,867x = 14,119,204,547,809
  5. Step 5: Solve for x
    x = 14,119,204,547,809/1,689,867
  6. Step 6: Final answer
    x = 8,355,216.44

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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.