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Finding the Third Proportional to 2,660,784 and 5,836,656

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Solution

The third proportional to 2,660,784 and 5,836,656 is: 12,803,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,784 : 5,836,656 = 5,836,656 : x
  2. Step 2: Convert to fraction form
    2,660,784/5,836,656 = 5,836,656/x
  3. Step 3: Cross multiply
    2,660,784x = 5,836,656 × 5,836,656
  4. Step 4: Simplify right side
    2,660,784x = 34,066,553,262,336
  5. Step 5: Solve for x
    x = 34,066,553,262,336/2,660,784
  6. Step 6: Final answer
    x = 12,803,201.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.