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Finding the Third Proportional to 613,953.84 and 1,291,529.81

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Solution

The third proportional to 613,953.84 and 1,291,529.81 is: 2,716,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,953.84 : 1,291,529.81 = 1,291,529.81 : x
  2. Step 2: Convert to fraction form
    613,953.84/1,291,529.81 = 1,291,529.81/x
  3. Step 3: Cross multiply
    613,953.84x = 1,291,529.81 × 1,291,529.81
  4. Step 4: Simplify right side
    613,953.84x = 1,668,049,256,576.29
  5. Step 5: Solve for x
    x = 1,668,049,256,576.29/613,953.84
  6. Step 6: Final answer
    x = 2,716,896.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.