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Finding the Third Proportional to 458,942 and 994,153

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Solution

The third proportional to 458,942 and 994,153 is: 2,153,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,942 : 994,153 = 994,153 : x
  2. Step 2: Convert to fraction form
    458,942/994,153 = 994,153/x
  3. Step 3: Cross multiply
    458,942x = 994,153 × 994,153
  4. Step 4: Simplify right side
    458,942x = 988,340,187,409
  5. Step 5: Solve for x
    x = 988,340,187,409/458,942
  6. Step 6: Final answer
    x = 2,153,518.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.