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Finding the Third Proportional to 2,503,140 and 5,383,536

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Solution

The third proportional to 2,503,140 and 5,383,536 is: 11,578,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,140 : 5,383,536 = 5,383,536 : x
  2. Step 2: Convert to fraction form
    2,503,140/5,383,536 = 5,383,536/x
  3. Step 3: Cross multiply
    2,503,140x = 5,383,536 × 5,383,536
  4. Step 4: Simplify right side
    2,503,140x = 28,982,459,863,296
  5. Step 5: Solve for x
    x = 28,982,459,863,296/2,503,140
  6. Step 6: Final answer
    x = 11,578,441.42

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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.