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Finding the Third Proportional to 755,838.50 and 1,644,529.50

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Solution

The third proportional to 755,838.50 and 1,644,529.50 is: 3,578,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,838.50 : 1,644,529.50 = 1,644,529.50 : x
  2. Step 2: Convert to fraction form
    755,838.50/1,644,529.50 = 1,644,529.50/x
  3. Step 3: Cross multiply
    755,838.50x = 1,644,529.50 × 1,644,529.50
  4. Step 4: Simplify right side
    755,838.50x = 2,704,477,276,370.25
  5. Step 5: Solve for x
    x = 2,704,477,276,370.25/755,838.50
  6. Step 6: Final answer
    x = 3,578,115.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.