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Finding the Third Proportional to 2,023,983 and 4,777,913

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Solution

The third proportional to 2,023,983 and 4,777,913 is: 11,278,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,983 : 4,777,913 = 4,777,913 : x
  2. Step 2: Convert to fraction form
    2,023,983/4,777,913 = 4,777,913/x
  3. Step 3: Cross multiply
    2,023,983x = 4,777,913 × 4,777,913
  4. Step 4: Simplify right side
    2,023,983x = 22,828,452,635,569
  5. Step 5: Solve for x
    x = 22,828,452,635,569/2,023,983
  6. Step 6: Final answer
    x = 11,278,974.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.