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Finding the Third Proportional to 460,105 and 942,520

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Solution

The third proportional to 460,105 and 942,520 is: 1,930,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,105 : 942,520 = 942,520 : x
  2. Step 2: Convert to fraction form
    460,105/942,520 = 942,520/x
  3. Step 3: Cross multiply
    460,105x = 942,520 × 942,520
  4. Step 4: Simplify right side
    460,105x = 888,343,950,400
  5. Step 5: Solve for x
    x = 888,343,950,400/460,105
  6. Step 6: Final answer
    x = 1,930,741.79

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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.