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Finding the Third Proportional to 2,597,039 and 3,881,022.50

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Solution

The third proportional to 2,597,039 and 3,881,022.50 is: 5,799,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,039 : 3,881,022.50 = 3,881,022.50 : x
  2. Step 2: Convert to fraction form
    2,597,039/3,881,022.50 = 3,881,022.50/x
  3. Step 3: Cross multiply
    2,597,039x = 3,881,022.50 × 3,881,022.50
  4. Step 4: Simplify right side
    2,597,039x = 15,062,335,645,506.25
  5. Step 5: Solve for x
    x = 15,062,335,645,506.25/2,597,039
  6. Step 6: Final answer
    x = 5,799,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.