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Finding the Third Proportional to 769,505.06 and 1,184,511.09

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Solution

The third proportional to 769,505.06 and 1,184,511.09 is: 1,823,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,505.06 : 1,184,511.09 = 1,184,511.09 : x
  2. Step 2: Convert to fraction form
    769,505.06/1,184,511.09 = 1,184,511.09/x
  3. Step 3: Cross multiply
    769,505.06x = 1,184,511.09 × 1,184,511.09
  4. Step 4: Simplify right side
    769,505.06x = 1,403,066,531,216.82
  5. Step 5: Solve for x
    x = 1,403,066,531,216.82/769,505.06
  6. Step 6: Final answer
    x = 1,823,336.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.