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Finding the Third Proportional to 468,288 and 994,887

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Solution

The third proportional to 468,288 and 994,887 is: 2,113,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,288 : 994,887 = 994,887 : x
  2. Step 2: Convert to fraction form
    468,288/994,887 = 994,887/x
  3. Step 3: Cross multiply
    468,288x = 994,887 × 994,887
  4. Step 4: Simplify right side
    468,288x = 989,800,142,769
  5. Step 5: Solve for x
    x = 989,800,142,769/468,288
  6. Step 6: Final answer
    x = 2,113,656.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.