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Finding the Third Proportional to 709,965 and 1,561,914.56

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Solution

The third proportional to 709,965 and 1,561,914.56 is: 3,436,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,965 : 1,561,914.56 = 1,561,914.56 : x
  2. Step 2: Convert to fraction form
    709,965/1,561,914.56 = 1,561,914.56/x
  3. Step 3: Cross multiply
    709,965x = 1,561,914.56 × 1,561,914.56
  4. Step 4: Simplify right side
    709,965x = 2,439,577,100,549.57
  5. Step 5: Solve for x
    x = 2,439,577,100,549.57/709,965
  6. Step 6: Final answer
    x = 3,436,193.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.