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Finding the Third Proportional to 2,397,012 and 5,135,194

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Solution

The third proportional to 2,397,012 and 5,135,194 is: 11,001,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,012 : 5,135,194 = 5,135,194 : x
  2. Step 2: Convert to fraction form
    2,397,012/5,135,194 = 5,135,194/x
  3. Step 3: Cross multiply
    2,397,012x = 5,135,194 × 5,135,194
  4. Step 4: Simplify right side
    2,397,012x = 26,370,217,417,636
  5. Step 5: Solve for x
    x = 26,370,217,417,636/2,397,012
  6. Step 6: Final answer
    x = 11,001,287.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.