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Finding the Third Proportional to 840,058 and 1,843,407

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Solution

The third proportional to 840,058 and 1,843,407 is: 4,045,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,058 : 1,843,407 = 1,843,407 : x
  2. Step 2: Convert to fraction form
    840,058/1,843,407 = 1,843,407/x
  3. Step 3: Cross multiply
    840,058x = 1,843,407 × 1,843,407
  4. Step 4: Simplify right side
    840,058x = 3,398,149,367,649
  5. Step 5: Solve for x
    x = 3,398,149,367,649/840,058
  6. Step 6: Final answer
    x = 4,045,136.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.