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Finding the Third Proportional to 459,056 and 994,339

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Solution

The third proportional to 459,056 and 994,339 is: 2,153,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,056 : 994,339 = 994,339 : x
  2. Step 2: Convert to fraction form
    459,056/994,339 = 994,339/x
  3. Step 3: Cross multiply
    459,056x = 994,339 × 994,339
  4. Step 4: Simplify right side
    459,056x = 988,710,046,921
  5. Step 5: Solve for x
    x = 988,710,046,921/459,056
  6. Step 6: Final answer
    x = 2,153,789.62

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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.