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Finding the Third Proportional to 458,944 and 994,157

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Solution

The third proportional to 458,944 and 994,157 is: 2,153,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,944 : 994,157 = 994,157 : x
  2. Step 2: Convert to fraction form
    458,944/994,157 = 994,157/x
  3. Step 3: Cross multiply
    458,944x = 994,157 × 994,157
  4. Step 4: Simplify right side
    458,944x = 988,348,140,649
  5. Step 5: Solve for x
    x = 988,348,140,649/458,944
  6. Step 6: Final answer
    x = 2,153,526.66

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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.