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Finding the Third Proportional to 840,456 and 1,943,676

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Solution

The third proportional to 840,456 and 1,943,676 is: 4,495,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,456 : 1,943,676 = 1,943,676 : x
  2. Step 2: Convert to fraction form
    840,456/1,943,676 = 1,943,676/x
  3. Step 3: Cross multiply
    840,456x = 1,943,676 × 1,943,676
  4. Step 4: Simplify right side
    840,456x = 3,777,876,392,976
  5. Step 5: Solve for x
    x = 3,777,876,392,976/840,456
  6. Step 6: Final answer
    x = 4,495,031.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.