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Finding the Third Proportional to 2,152,896 and 5,074,980

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Solution

The third proportional to 2,152,896 and 5,074,980 is: 11,963,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,896 : 5,074,980 = 5,074,980 : x
  2. Step 2: Convert to fraction form
    2,152,896/5,074,980 = 5,074,980/x
  3. Step 3: Cross multiply
    2,152,896x = 5,074,980 × 5,074,980
  4. Step 4: Simplify right side
    2,152,896x = 25,755,422,000,400
  5. Step 5: Solve for x
    x = 25,755,422,000,400/2,152,896
  6. Step 6: Final answer
    x = 11,963,151.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.