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Finding the Third Proportional to 2,523,474 and 3,784,284.25

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Solution

The third proportional to 2,523,474 and 3,784,284.25 is: 5,675,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,474 : 3,784,284.25 = 3,784,284.25 : x
  2. Step 2: Convert to fraction form
    2,523,474/3,784,284.25 = 3,784,284.25/x
  3. Step 3: Cross multiply
    2,523,474x = 3,784,284.25 × 3,784,284.25
  4. Step 4: Simplify right side
    2,523,474x = 14,320,807,284,798.06
  5. Step 5: Solve for x
    x = 14,320,807,284,798.06/2,523,474
  6. Step 6: Final answer
    x = 5,675,036.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.