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Finding the Third Proportional to 2,267,575 and 3,437,353

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Solution

The third proportional to 2,267,575 and 3,437,353 is: 5,210,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,575 : 3,437,353 = 3,437,353 : x
  2. Step 2: Convert to fraction form
    2,267,575/3,437,353 = 3,437,353/x
  3. Step 3: Cross multiply
    2,267,575x = 3,437,353 × 3,437,353
  4. Step 4: Simplify right side
    2,267,575x = 11,815,395,646,609
  5. Step 5: Solve for x
    x = 11,815,395,646,609/2,267,575
  6. Step 6: Final answer
    x = 5,210,586.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.