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Finding the Third Proportional to 2,314,012 and 4,983,623

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Solution

The third proportional to 2,314,012 and 4,983,623 is: 10,733,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,012 : 4,983,623 = 4,983,623 : x
  2. Step 2: Convert to fraction form
    2,314,012/4,983,623 = 4,983,623/x
  3. Step 3: Cross multiply
    2,314,012x = 4,983,623 × 4,983,623
  4. Step 4: Simplify right side
    2,314,012x = 24,836,498,206,129
  5. Step 5: Solve for x
    x = 24,836,498,206,129/2,314,012
  6. Step 6: Final answer
    x = 10,733,089.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.