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Finding the Third Proportional to 412,946 and 875,512

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Solution

The third proportional to 412,946 and 875,512 is: 1,856,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,946 : 875,512 = 875,512 : x
  2. Step 2: Convert to fraction form
    412,946/875,512 = 875,512/x
  3. Step 3: Cross multiply
    412,946x = 875,512 × 875,512
  4. Step 4: Simplify right side
    412,946x = 766,521,262,144
  5. Step 5: Solve for x
    x = 766,521,262,144/412,946
  6. Step 6: Final answer
    x = 1,856,226.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.