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Finding the Third Proportional to 2,381,024 and 5,619,680

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Solution

The third proportional to 2,381,024 and 5,619,680 is: 13,263,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381,024 : 5,619,680 = 5,619,680 : x
  2. Step 2: Convert to fraction form
    2,381,024/5,619,680 = 5,619,680/x
  3. Step 3: Cross multiply
    2,381,024x = 5,619,680 × 5,619,680
  4. Step 4: Simplify right side
    2,381,024x = 31,580,803,302,400
  5. Step 5: Solve for x
    x = 31,580,803,302,400/2,381,024
  6. Step 6: Final answer
    x = 13,263,538.42

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.