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Finding the Third Proportional to 825,720.19 and 1,276,154.44

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Solution

The third proportional to 825,720.19 and 1,276,154.44 is: 1,972,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,720.19 : 1,276,154.44 = 1,276,154.44 : x
  2. Step 2: Convert to fraction form
    825,720.19/1,276,154.44 = 1,276,154.44/x
  3. Step 3: Cross multiply
    825,720.19x = 1,276,154.44 × 1,276,154.44
  4. Step 4: Simplify right side
    825,720.19x = 1,628,570,148,350.94
  5. Step 5: Solve for x
    x = 1,628,570,148,350.94/825,720.19
  6. Step 6: Final answer
    x = 1,972,302.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.