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Finding the Third Proportional to 1,027,576 and 1,581,378

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Solution

The third proportional to 1,027,576 and 1,581,378 is: 2,433,646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,576 : 1,581,378 = 1,581,378 : x
  2. Step 2: Convert to fraction form
    1,027,576/1,581,378 = 1,581,378/x
  3. Step 3: Cross multiply
    1,027,576x = 1,581,378 × 1,581,378
  4. Step 4: Simplify right side
    1,027,576x = 2,500,756,378,884
  5. Step 5: Solve for x
    x = 2,500,756,378,884/1,027,576
  6. Step 6: Final answer
    x = 2,433,646.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.