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Finding the Third Proportional to 2,602,217 and 5,638,837

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Solution

The third proportional to 2,602,217 and 5,638,837 is: 12,218,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,217 : 5,638,837 = 5,638,837 : x
  2. Step 2: Convert to fraction form
    2,602,217/5,638,837 = 5,638,837/x
  3. Step 3: Cross multiply
    2,602,217x = 5,638,837 × 5,638,837
  4. Step 4: Simplify right side
    2,602,217x = 31,796,482,712,569
  5. Step 5: Solve for x
    x = 31,796,482,712,569/2,602,217
  6. Step 6: Final answer
    x = 12,218,997.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.