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Finding the Third Proportional to 541,927 and 1,254,941

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Solution

The third proportional to 541,927 and 1,254,941 is: 2,906,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,927 : 1,254,941 = 1,254,941 : x
  2. Step 2: Convert to fraction form
    541,927/1,254,941 = 1,254,941/x
  3. Step 3: Cross multiply
    541,927x = 1,254,941 × 1,254,941
  4. Step 4: Simplify right side
    541,927x = 1,574,876,913,481
  5. Step 5: Solve for x
    x = 1,574,876,913,481/541,927
  6. Step 6: Final answer
    x = 2,906,068.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.