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Finding the Third Proportional to 1,780,242 and 2,732,571

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Solution

The third proportional to 1,780,242 and 2,732,571 is: 4,194,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,242 : 2,732,571 = 2,732,571 : x
  2. Step 2: Convert to fraction form
    1,780,242/2,732,571 = 2,732,571/x
  3. Step 3: Cross multiply
    1,780,242x = 2,732,571 × 2,732,571
  4. Step 4: Simplify right side
    1,780,242x = 7,466,944,270,041
  5. Step 5: Solve for x
    x = 7,466,944,270,041/1,780,242
  6. Step 6: Final answer
    x = 4,194,342.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.