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Finding the Third Proportional to 1,747,264.50 and 3,753,876.38

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Solution

The third proportional to 1,747,264.50 and 3,753,876.38 is: 8,064,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,264.50 : 3,753,876.38 = 3,753,876.38 : x
  2. Step 2: Convert to fraction form
    1,747,264.50/3,753,876.38 = 3,753,876.38/x
  3. Step 3: Cross multiply
    1,747,264.50x = 3,753,876.38 × 3,753,876.38
  4. Step 4: Simplify right side
    1,747,264.50x = 14,091,587,838,783.14
  5. Step 5: Solve for x
    x = 14,091,587,838,783.14/1,747,264.50
  6. Step 6: Final answer
    x = 8,064,942.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.