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Finding the Third Proportional to 1,576,539.70 and 3,414,563.86

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Solution

The third proportional to 1,576,539.70 and 3,414,563.86 is: 7,395,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,539.70 : 3,414,563.86 = 3,414,563.86 : x
  2. Step 2: Convert to fraction form
    1,576,539.70/3,414,563.86 = 3,414,563.86/x
  3. Step 3: Cross multiply
    1,576,539.70x = 3,414,563.86 × 3,414,563.86
  4. Step 4: Simplify right side
    1,576,539.70x = 11,659,246,349,749.89
  5. Step 5: Solve for x
    x = 11,659,246,349,749.89/1,576,539.70
  6. Step 6: Final answer
    x = 7,395,466.37

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Why These Related Problems?

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