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Finding the Third Proportional to 460,116 and 942,543

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Solution

The third proportional to 460,116 and 942,543 is: 1,930,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,116 : 942,543 = 942,543 : x
  2. Step 2: Convert to fraction form
    460,116/942,543 = 942,543/x
  3. Step 3: Cross multiply
    460,116x = 942,543 × 942,543
  4. Step 4: Simplify right side
    460,116x = 888,387,306,849
  5. Step 5: Solve for x
    x = 888,387,306,849/460,116
  6. Step 6: Final answer
    x = 1,930,789.86

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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.