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Finding the Third Proportional to 1,074,910.50 and 1,362,637.69

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Solution

The third proportional to 1,074,910.50 and 1,362,637.69 is: 1,727,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,910.50 : 1,362,637.69 = 1,362,637.69 : x
  2. Step 2: Convert to fraction form
    1,074,910.50/1,362,637.69 = 1,362,637.69/x
  3. Step 3: Cross multiply
    1,074,910.50x = 1,362,637.69 × 1,362,637.69
  4. Step 4: Simplify right side
    1,074,910.50x = 1,856,781,467,395.35
  5. Step 5: Solve for x
    x = 1,856,781,467,395.35/1,074,910.50
  6. Step 6: Final answer
    x = 1,727,382.39

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.