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Finding the Third Proportional to 3,074,859 and 4,777,407

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Solution

The third proportional to 3,074,859 and 4,777,407 is: 7,422,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,859 : 4,777,407 = 4,777,407 : x
  2. Step 2: Convert to fraction form
    3,074,859/4,777,407 = 4,777,407/x
  3. Step 3: Cross multiply
    3,074,859x = 4,777,407 × 4,777,407
  4. Step 4: Simplify right side
    3,074,859x = 22,823,617,643,649
  5. Step 5: Solve for x
    x = 22,823,617,643,649/3,074,859
  6. Step 6: Final answer
    x = 7,422,655.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.