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Finding the Third Proportional to 497,095.50 and 1,090,965

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Solution

The third proportional to 497,095.50 and 1,090,965 is: 2,394,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,095.50 : 1,090,965 = 1,090,965 : x
  2. Step 2: Convert to fraction form
    497,095.50/1,090,965 = 1,090,965/x
  3. Step 3: Cross multiply
    497,095.50x = 1,090,965 × 1,090,965
  4. Step 4: Simplify right side
    497,095.50x = 1,190,204,631,225
  5. Step 5: Solve for x
    x = 1,190,204,631,225/497,095.50
  6. Step 6: Final answer
    x = 2,394,317.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.