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Finding the Third Proportional to 1,576,550 and 3,414,584

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Solution

The third proportional to 1,576,550 and 3,414,584 is: 7,395,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,550 : 3,414,584 = 3,414,584 : x
  2. Step 2: Convert to fraction form
    1,576,550/3,414,584 = 3,414,584/x
  3. Step 3: Cross multiply
    1,576,550x = 3,414,584 × 3,414,584
  4. Step 4: Simplify right side
    1,576,550x = 11,659,383,893,056
  5. Step 5: Solve for x
    x = 11,659,383,893,056/1,576,550
  6. Step 6: Final answer
    x = 7,395,505.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.