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Finding the Third Proportional to 1,238,466.94 and 2,561,889.38

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Solution

The third proportional to 1,238,466.94 and 2,561,889.38 is: 5,299,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,466.94 : 2,561,889.38 = 2,561,889.38 : x
  2. Step 2: Convert to fraction form
    1,238,466.94/2,561,889.38 = 2,561,889.38/x
  3. Step 3: Cross multiply
    1,238,466.94x = 2,561,889.38 × 2,561,889.38
  4. Step 4: Simplify right side
    1,238,466.94x = 6,563,277,169,737.89
  5. Step 5: Solve for x
    x = 6,563,277,169,737.89/1,238,466.94
  6. Step 6: Final answer
    x = 5,299,517.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.