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Finding the Third Proportional to 2,591,484 and 5,638,752

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Solution

The third proportional to 2,591,484 and 5,638,752 is: 12,269,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,484 : 5,638,752 = 5,638,752 : x
  2. Step 2: Convert to fraction form
    2,591,484/5,638,752 = 5,638,752/x
  3. Step 3: Cross multiply
    2,591,484x = 5,638,752 × 5,638,752
  4. Step 4: Simplify right side
    2,591,484x = 31,795,524,117,504
  5. Step 5: Solve for x
    x = 31,795,524,117,504/2,591,484
  6. Step 6: Final answer
    x = 12,269,234.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.