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Finding the Third Proportional to 2,058,842 and 2,970,151

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Solution

The third proportional to 2,058,842 and 2,970,151 is: 4,284,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,842 : 2,970,151 = 2,970,151 : x
  2. Step 2: Convert to fraction form
    2,058,842/2,970,151 = 2,970,151/x
  3. Step 3: Cross multiply
    2,058,842x = 2,970,151 × 2,970,151
  4. Step 4: Simplify right side
    2,058,842x = 8,821,796,962,801
  5. Step 5: Solve for x
    x = 8,821,796,962,801/2,058,842
  6. Step 6: Final answer
    x = 4,284,834.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.