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Finding the Third Proportional to 2,409,680 and 5,192,592

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Solution

The third proportional to 2,409,680 and 5,192,592 is: 11,189,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,680 : 5,192,592 = 5,192,592 : x
  2. Step 2: Convert to fraction form
    2,409,680/5,192,592 = 5,192,592/x
  3. Step 3: Cross multiply
    2,409,680x = 5,192,592 × 5,192,592
  4. Step 4: Simplify right side
    2,409,680x = 26,963,011,678,464
  5. Step 5: Solve for x
    x = 26,963,011,678,464/2,409,680
  6. Step 6: Final answer
    x = 11,189,457.39

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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.