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Finding the Third Proportional to 2,251,017 and 4,928,944.50

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Solution

The third proportional to 2,251,017 and 4,928,944.50 is: 10,792,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,017 : 4,928,944.50 = 4,928,944.50 : x
  2. Step 2: Convert to fraction form
    2,251,017/4,928,944.50 = 4,928,944.50/x
  3. Step 3: Cross multiply
    2,251,017x = 4,928,944.50 × 4,928,944.50
  4. Step 4: Simplify right side
    2,251,017x = 24,294,493,884,080.25
  5. Step 5: Solve for x
    x = 24,294,493,884,080.25/2,251,017
  6. Step 6: Final answer
    x = 10,792,674.55

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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.