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Finding the Third Proportional to 2,874,299.25 and 4,508,933.63

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Solution

The third proportional to 2,874,299.25 and 4,508,933.63 is: 7,073,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,299.25 : 4,508,933.63 = 4,508,933.63 : x
  2. Step 2: Convert to fraction form
    2,874,299.25/4,508,933.63 = 4,508,933.63/x
  3. Step 3: Cross multiply
    2,874,299.25x = 4,508,933.63 × 4,508,933.63
  4. Step 4: Simplify right side
    2,874,299.25x = 20,330,482,434,655.64
  5. Step 5: Solve for x
    x = 20,330,482,434,655.64/2,874,299.25
  6. Step 6: Final answer
    x = 7,073,196.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.