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Finding the Third Proportional to 2,523,678 and 3,815,588.25

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Solution

The third proportional to 2,523,678 and 3,815,588.25 is: 5,768,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,678 : 3,815,588.25 = 3,815,588.25 : x
  2. Step 2: Convert to fraction form
    2,523,678/3,815,588.25 = 3,815,588.25/x
  3. Step 3: Cross multiply
    2,523,678x = 3,815,588.25 × 3,815,588.25
  4. Step 4: Simplify right side
    2,523,678x = 14,558,713,693,538.06
  5. Step 5: Solve for x
    x = 14,558,713,693,538.06/2,523,678
  6. Step 6: Final answer
    x = 5,768,847.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.