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Finding the Third Proportional to 2,397,009 and 5,135,190

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Solution

The third proportional to 2,397,009 and 5,135,190 is: 11,001,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,009 : 5,135,190 = 5,135,190 : x
  2. Step 2: Convert to fraction form
    2,397,009/5,135,190 = 5,135,190/x
  3. Step 3: Cross multiply
    2,397,009x = 5,135,190 × 5,135,190
  4. Step 4: Simplify right side
    2,397,009x = 26,370,176,336,100
  5. Step 5: Solve for x
    x = 26,370,176,336,100/2,397,009
  6. Step 6: Final answer
    x = 11,001,283.82

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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.