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Finding the Third Proportional to 500,694.75 and 1,081,944

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Solution

The third proportional to 500,694.75 and 1,081,944 is: 2,337,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,694.75 : 1,081,944 = 1,081,944 : x
  2. Step 2: Convert to fraction form
    500,694.75/1,081,944 = 1,081,944/x
  3. Step 3: Cross multiply
    500,694.75x = 1,081,944 × 1,081,944
  4. Step 4: Simplify right side
    500,694.75x = 1,170,602,819,136
  5. Step 5: Solve for x
    x = 1,170,602,819,136/500,694.75
  6. Step 6: Final answer
    x = 2,337,957.05

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Why These Related Problems?

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