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Finding the Third Proportional to 458,965 and 994,178

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Solution

The third proportional to 458,965 and 994,178 is: 2,153,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,965 : 994,178 = 994,178 : x
  2. Step 2: Convert to fraction form
    458,965/994,178 = 994,178/x
  3. Step 3: Cross multiply
    458,965x = 994,178 × 994,178
  4. Step 4: Simplify right side
    458,965x = 988,389,895,684
  5. Step 5: Solve for x
    x = 988,389,895,684/458,965
  6. Step 6: Final answer
    x = 2,153,519.10

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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.