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Finding the Third Proportional to 424,905.75 and 917,673.75

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Solution

The third proportional to 424,905.75 and 917,673.75 is: 1,981,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,905.75 : 917,673.75 = 917,673.75 : x
  2. Step 2: Convert to fraction form
    424,905.75/917,673.75 = 917,673.75/x
  3. Step 3: Cross multiply
    424,905.75x = 917,673.75 × 917,673.75
  4. Step 4: Simplify right side
    424,905.75x = 842,125,111,439.06
  5. Step 5: Solve for x
    x = 842,125,111,439.06/424,905.75
  6. Step 6: Final answer
    x = 1,981,910.37

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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.