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Finding the Third Proportional to 1,702,977 and 2,561,619

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Solution

The third proportional to 1,702,977 and 2,561,619 is: 3,853,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,977 : 2,561,619 = 2,561,619 : x
  2. Step 2: Convert to fraction form
    1,702,977/2,561,619 = 2,561,619/x
  3. Step 3: Cross multiply
    1,702,977x = 2,561,619 × 2,561,619
  4. Step 4: Simplify right side
    1,702,977x = 6,561,891,901,161
  5. Step 5: Solve for x
    x = 6,561,891,901,161/1,702,977
  6. Step 6: Final answer
    x = 3,853,188.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.