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Finding the Third Proportional to 1,638,339 and 3,591,609

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Solution

The third proportional to 1,638,339 and 3,591,609 is: 7,873,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,339 : 3,591,609 = 3,591,609 : x
  2. Step 2: Convert to fraction form
    1,638,339/3,591,609 = 3,591,609/x
  3. Step 3: Cross multiply
    1,638,339x = 3,591,609 × 3,591,609
  4. Step 4: Simplify right side
    1,638,339x = 12,899,655,208,881
  5. Step 5: Solve for x
    x = 12,899,655,208,881/1,638,339
  6. Step 6: Final answer
    x = 7,873,617.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.