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Finding the Third Proportional to 1,726,101 and 2,589,152

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Solution

The third proportional to 1,726,101 and 2,589,152 is: 3,883,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,101 : 2,589,152 = 2,589,152 : x
  2. Step 2: Convert to fraction form
    1,726,101/2,589,152 = 2,589,152/x
  3. Step 3: Cross multiply
    1,726,101x = 2,589,152 × 2,589,152
  4. Step 4: Simplify right side
    1,726,101x = 6,703,708,079,104
  5. Step 5: Solve for x
    x = 6,703,708,079,104/1,726,101
  6. Step 6: Final answer
    x = 3,883,728.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.