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Finding the Third Proportional to 2,572,209 and 3,697,167

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Solution

The third proportional to 2,572,209 and 3,697,167 is: 5,314,126.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,209 : 3,697,167 = 3,697,167 : x
  2. Step 2: Convert to fraction form
    2,572,209/3,697,167 = 3,697,167/x
  3. Step 3: Cross multiply
    2,572,209x = 3,697,167 × 3,697,167
  4. Step 4: Simplify right side
    2,572,209x = 13,669,043,825,889
  5. Step 5: Solve for x
    x = 13,669,043,825,889/2,572,209
  6. Step 6: Final answer
    x = 5,314,126.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.