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Finding the Third Proportional to 1,689,153.75 and 3,644,028.84

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Solution

The third proportional to 1,689,153.75 and 3,644,028.84 is: 7,861,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,153.75 : 3,644,028.84 = 3,644,028.84 : x
  2. Step 2: Convert to fraction form
    1,689,153.75/3,644,028.84 = 3,644,028.84/x
  3. Step 3: Cross multiply
    1,689,153.75x = 3,644,028.84 × 3,644,028.84
  4. Step 4: Simplify right side
    1,689,153.75x = 13,278,946,214,081.96
  5. Step 5: Solve for x
    x = 13,278,946,214,081.96/1,689,153.75
  6. Step 6: Final answer
    x = 7,861,301.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.