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Finding the Third Proportional to 2,058,844 and 2,970,154

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Solution

The third proportional to 2,058,844 and 2,970,154 is: 4,284,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,844 : 2,970,154 = 2,970,154 : x
  2. Step 2: Convert to fraction form
    2,058,844/2,970,154 = 2,970,154/x
  3. Step 3: Cross multiply
    2,058,844x = 2,970,154 × 2,970,154
  4. Step 4: Simplify right side
    2,058,844x = 8,821,814,783,716
  5. Step 5: Solve for x
    x = 8,821,814,783,716/2,058,844
  6. Step 6: Final answer
    x = 4,284,838.86

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Why These Related Problems?

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