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Finding the Third Proportional to 1,709,541.28 and 3,647,896.59

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Solution

The third proportional to 1,709,541.28 and 3,647,896.59 is: 7,784,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,541.28 : 3,647,896.59 = 3,647,896.59 : x
  2. Step 2: Convert to fraction form
    1,709,541.28/3,647,896.59 = 3,647,896.59/x
  3. Step 3: Cross multiply
    1,709,541.28x = 3,647,896.59 × 3,647,896.59
  4. Step 4: Simplify right side
    1,709,541.28x = 13,307,149,558,692.85
  5. Step 5: Solve for x
    x = 13,307,149,558,692.85/1,709,541.28
  6. Step 6: Final answer
    x = 7,784,046.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.