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Finding the Third Proportional to 1,576,341 and 3,394,442

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Solution

The third proportional to 1,576,341 and 3,394,442 is: 7,309,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,341 : 3,394,442 = 3,394,442 : x
  2. Step 2: Convert to fraction form
    1,576,341/3,394,442 = 3,394,442/x
  3. Step 3: Cross multiply
    1,576,341x = 3,394,442 × 3,394,442
  4. Step 4: Simplify right side
    1,576,341x = 11,522,236,491,364
  5. Step 5: Solve for x
    x = 11,522,236,491,364/1,576,341
  6. Step 6: Final answer
    x = 7,309,482.21

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Why These Related Problems?

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