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Finding the Third Proportional to 1,171,416.94 and 1,769,608.69

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Solution

The third proportional to 1,171,416.94 and 1,769,608.69 is: 2,673,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,416.94 : 1,769,608.69 = 1,769,608.69 : x
  2. Step 2: Convert to fraction form
    1,171,416.94/1,769,608.69 = 1,769,608.69/x
  3. Step 3: Cross multiply
    1,171,416.94x = 1,769,608.69 × 1,769,608.69
  4. Step 4: Simplify right side
    1,171,416.94x = 3,131,514,906,875.47
  5. Step 5: Solve for x
    x = 3,131,514,906,875.47/1,171,416.94
  6. Step 6: Final answer
    x = 2,673,270.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.