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Finding the Third Proportional to 2,784,108 and 6,079,560

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Solution

The third proportional to 2,784,108 and 6,079,560 is: 13,275,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,108 : 6,079,560 = 6,079,560 : x
  2. Step 2: Convert to fraction form
    2,784,108/6,079,560 = 6,079,560/x
  3. Step 3: Cross multiply
    2,784,108x = 6,079,560 × 6,079,560
  4. Step 4: Simplify right side
    2,784,108x = 36,961,049,793,600
  5. Step 5: Solve for x
    x = 36,961,049,793,600/2,784,108
  6. Step 6: Final answer
    x = 13,275,724.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.