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Finding the Third Proportional to 1,783,906.50 and 3,715,557

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Solution

The third proportional to 1,783,906.50 and 3,715,557 is: 7,738,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,906.50 : 3,715,557 = 3,715,557 : x
  2. Step 2: Convert to fraction form
    1,783,906.50/3,715,557 = 3,715,557/x
  3. Step 3: Cross multiply
    1,783,906.50x = 3,715,557 × 3,715,557
  4. Step 4: Simplify right side
    1,783,906.50x = 13,805,363,820,249
  5. Step 5: Solve for x
    x = 13,805,363,820,249/1,783,906.50
  6. Step 6: Final answer
    x = 7,738,838.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.