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Finding the Third Proportional to 2,680,356 and 5,780,616

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Solution

The third proportional to 2,680,356 and 5,780,616 is: 12,466,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680,356 : 5,780,616 = 5,780,616 : x
  2. Step 2: Convert to fraction form
    2,680,356/5,780,616 = 5,780,616/x
  3. Step 3: Cross multiply
    2,680,356x = 5,780,616 × 5,780,616
  4. Step 4: Simplify right side
    2,680,356x = 33,415,521,339,456
  5. Step 5: Solve for x
    x = 33,415,521,339,456/2,680,356
  6. Step 6: Final answer
    x = 12,466,822.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.