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Finding the Third Proportional to 2,205,305 and 4,748,525

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Solution

The third proportional to 2,205,305 and 4,748,525 is: 10,224,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,305 : 4,748,525 = 4,748,525 : x
  2. Step 2: Convert to fraction form
    2,205,305/4,748,525 = 4,748,525/x
  3. Step 3: Cross multiply
    2,205,305x = 4,748,525 × 4,748,525
  4. Step 4: Simplify right side
    2,205,305x = 22,548,489,675,625
  5. Step 5: Solve for x
    x = 22,548,489,675,625/2,205,305
  6. Step 6: Final answer
    x = 10,224,658.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.