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Finding the Third Proportional to 460,147 and 942,605

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Solution

The third proportional to 460,147 and 942,605 is: 1,930,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,147 : 942,605 = 942,605 : x
  2. Step 2: Convert to fraction form
    460,147/942,605 = 942,605/x
  3. Step 3: Cross multiply
    460,147x = 942,605 × 942,605
  4. Step 4: Simplify right side
    460,147x = 888,504,186,025
  5. Step 5: Solve for x
    x = 888,504,186,025/460,147
  6. Step 6: Final answer
    x = 1,930,913.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.