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Finding the Third Proportional to 1,585,366 and 3,394,934

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Solution

The third proportional to 1,585,366 and 3,394,934 is: 7,269,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,366 : 3,394,934 = 3,394,934 : x
  2. Step 2: Convert to fraction form
    1,585,366/3,394,934 = 3,394,934/x
  3. Step 3: Cross multiply
    1,585,366x = 3,394,934 × 3,394,934
  4. Step 4: Simplify right side
    1,585,366x = 11,525,576,864,356
  5. Step 5: Solve for x
    x = 11,525,576,864,356/1,585,366
  6. Step 6: Final answer
    x = 7,269,978.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.