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Finding the Third Proportional to 459,044 and 994,317

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Solution

The third proportional to 459,044 and 994,317 is: 2,153,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,044 : 994,317 = 994,317 : x
  2. Step 2: Convert to fraction form
    459,044/994,317 = 994,317/x
  3. Step 3: Cross multiply
    459,044x = 994,317 × 994,317
  4. Step 4: Simplify right side
    459,044x = 988,666,296,489
  5. Step 5: Solve for x
    x = 988,666,296,489/459,044
  6. Step 6: Final answer
    x = 2,153,750.61

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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.