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Finding the Third Proportional to 1,196,532 and 2,561,254

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Solution

The third proportional to 1,196,532 and 2,561,254 is: 5,482,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,532 : 2,561,254 = 2,561,254 : x
  2. Step 2: Convert to fraction form
    1,196,532/2,561,254 = 2,561,254/x
  3. Step 3: Cross multiply
    1,196,532x = 2,561,254 × 2,561,254
  4. Step 4: Simplify right side
    1,196,532x = 6,560,022,052,516
  5. Step 5: Solve for x
    x = 6,560,022,052,516/1,196,532
  6. Step 6: Final answer
    x = 5,482,529.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.