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Finding the Third Proportional to 2,591,971.50 and 5,655,606

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Solution

The third proportional to 2,591,971.50 and 5,655,606 is: 12,340,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,971.50 : 5,655,606 = 5,655,606 : x
  2. Step 2: Convert to fraction form
    2,591,971.50/5,655,606 = 5,655,606/x
  3. Step 3: Cross multiply
    2,591,971.50x = 5,655,606 × 5,655,606
  4. Step 4: Simplify right side
    2,591,971.50x = 31,985,879,227,236
  5. Step 5: Solve for x
    x = 31,985,879,227,236/2,591,971.50
  6. Step 6: Final answer
    x = 12,340,366.87

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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.