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Finding the Third Proportional to 809,532 and 1,741,524

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Solution

The third proportional to 809,532 and 1,741,524 is: 3,746,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,532 : 1,741,524 = 1,741,524 : x
  2. Step 2: Convert to fraction form
    809,532/1,741,524 = 1,741,524/x
  3. Step 3: Cross multiply
    809,532x = 1,741,524 × 1,741,524
  4. Step 4: Simplify right side
    809,532x = 3,032,905,842,576
  5. Step 5: Solve for x
    x = 3,032,905,842,576/809,532
  6. Step 6: Final answer
    x = 3,746,492.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.