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Finding the Third Proportional to 2,693,706 and 5,814,714

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Solution

The third proportional to 2,693,706 and 5,814,714 is: 12,551,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,706 : 5,814,714 = 5,814,714 : x
  2. Step 2: Convert to fraction form
    2,693,706/5,814,714 = 5,814,714/x
  3. Step 3: Cross multiply
    2,693,706x = 5,814,714 × 5,814,714
  4. Step 4: Simplify right side
    2,693,706x = 33,810,898,901,796
  5. Step 5: Solve for x
    x = 33,810,898,901,796/2,693,706
  6. Step 6: Final answer
    x = 12,551,814.82

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Why These Related Problems?

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