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Finding the Third Proportional to 1,583,208 and 3,733,632

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Solution

The third proportional to 1,583,208 and 3,733,632 is: 8,804,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,208 : 3,733,632 = 3,733,632 : x
  2. Step 2: Convert to fraction form
    1,583,208/3,733,632 = 3,733,632/x
  3. Step 3: Cross multiply
    1,583,208x = 3,733,632 × 3,733,632
  4. Step 4: Simplify right side
    1,583,208x = 13,940,007,911,424
  5. Step 5: Solve for x
    x = 13,940,007,911,424/1,583,208
  6. Step 6: Final answer
    x = 8,804,912.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.