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Finding the Third Proportional to 2,902,398 and 6,777,586

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Solution

The third proportional to 2,902,398 and 6,777,586 is: 15,826,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,398 : 6,777,586 = 6,777,586 : x
  2. Step 2: Convert to fraction form
    2,902,398/6,777,586 = 6,777,586/x
  3. Step 3: Cross multiply
    2,902,398x = 6,777,586 × 6,777,586
  4. Step 4: Simplify right side
    2,902,398x = 45,935,671,987,396
  5. Step 5: Solve for x
    x = 45,935,671,987,396/2,902,398
  6. Step 6: Final answer
    x = 15,826,799.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.