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Finding the Third Proportional to 458,946 and 994,146

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Solution

The third proportional to 458,946 and 994,146 is: 2,153,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,946 : 994,146 = 994,146 : x
  2. Step 2: Convert to fraction form
    458,946/994,146 = 994,146/x
  3. Step 3: Cross multiply
    458,946x = 994,146 × 994,146
  4. Step 4: Simplify right side
    458,946x = 988,326,269,316
  5. Step 5: Solve for x
    x = 988,326,269,316/458,946
  6. Step 6: Final answer
    x = 2,153,469.62

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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.