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Finding the Third Proportional to 460,149 and 942,609

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Solution

The third proportional to 460,149 and 942,609 is: 1,930,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,149 : 942,609 = 942,609 : x
  2. Step 2: Convert to fraction form
    460,149/942,609 = 942,609/x
  3. Step 3: Cross multiply
    460,149x = 942,609 × 942,609
  4. Step 4: Simplify right side
    460,149x = 888,511,726,881
  5. Step 5: Solve for x
    x = 888,511,726,881/460,149
  6. Step 6: Final answer
    x = 1,930,921.78

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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.