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Finding the Third Proportional to 2,141,736 and 4,656,714

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Solution

The third proportional to 2,141,736 and 4,656,714 is: 10,124,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,736 : 4,656,714 = 4,656,714 : x
  2. Step 2: Convert to fraction form
    2,141,736/4,656,714 = 4,656,714/x
  3. Step 3: Cross multiply
    2,141,736x = 4,656,714 × 4,656,714
  4. Step 4: Simplify right side
    2,141,736x = 21,684,985,277,796
  5. Step 5: Solve for x
    x = 21,684,985,277,796/2,141,736
  6. Step 6: Final answer
    x = 10,124,957.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.