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Finding the Third Proportional to 458,924 and 994,106

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Solution

The third proportional to 458,924 and 994,106 is: 2,153,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,924 : 994,106 = 994,106 : x
  2. Step 2: Convert to fraction form
    458,924/994,106 = 994,106/x
  3. Step 3: Cross multiply
    458,924x = 994,106 × 994,106
  4. Step 4: Simplify right side
    458,924x = 988,246,739,236
  5. Step 5: Solve for x
    x = 988,246,739,236/458,924
  6. Step 6: Final answer
    x = 2,153,399.56

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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.