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Finding the Third Proportional to 4,094,511 and 6,422,525

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Solution

The third proportional to 4,094,511 and 6,422,525 is: 10,074,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094,511 : 6,422,525 = 6,422,525 : x
  2. Step 2: Convert to fraction form
    4,094,511/6,422,525 = 6,422,525/x
  3. Step 3: Cross multiply
    4,094,511x = 6,422,525 × 6,422,525
  4. Step 4: Simplify right side
    4,094,511x = 41,248,827,375,625
  5. Step 5: Solve for x
    x = 41,248,827,375,625/4,094,511
  6. Step 6: Final answer
    x = 10,074,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.