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Finding the Third Proportional to 443,524 and 1,069,306

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Solution

The third proportional to 443,524 and 1,069,306 is: 2,578,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,524 : 1,069,306 = 1,069,306 : x
  2. Step 2: Convert to fraction form
    443,524/1,069,306 = 1,069,306/x
  3. Step 3: Cross multiply
    443,524x = 1,069,306 × 1,069,306
  4. Step 4: Simplify right side
    443,524x = 1,143,415,321,636
  5. Step 5: Solve for x
    x = 1,143,415,321,636/443,524
  6. Step 6: Final answer
    x = 2,578,023.56

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.