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Finding the Third Proportional to 459,115 and 996,856

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Solution

The third proportional to 459,115 and 996,856 is: 2,164,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,115 : 996,856 = 996,856 : x
  2. Step 2: Convert to fraction form
    459,115/996,856 = 996,856/x
  3. Step 3: Cross multiply
    459,115x = 996,856 × 996,856
  4. Step 4: Simplify right side
    459,115x = 993,721,884,736
  5. Step 5: Solve for x
    x = 993,721,884,736/459,115
  6. Step 6: Final answer
    x = 2,164,429.14

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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.