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Finding the Third Proportional to 2,503,164 and 5,383,707

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Solution

The third proportional to 2,503,164 and 5,383,707 is: 11,579,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,164 : 5,383,707 = 5,383,707 : x
  2. Step 2: Convert to fraction form
    2,503,164/5,383,707 = 5,383,707/x
  3. Step 3: Cross multiply
    2,503,164x = 5,383,707 × 5,383,707
  4. Step 4: Simplify right side
    2,503,164x = 28,984,301,061,849
  5. Step 5: Solve for x
    x = 28,984,301,061,849/2,503,164
  6. Step 6: Final answer
    x = 11,579,065.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.