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Finding the Third Proportional to 459,146 and 996,918

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Solution

The third proportional to 459,146 and 996,918 is: 2,164,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,146 : 996,918 = 996,918 : x
  2. Step 2: Convert to fraction form
    459,146/996,918 = 996,918/x
  3. Step 3: Cross multiply
    459,146x = 996,918 × 996,918
  4. Step 4: Simplify right side
    459,146x = 993,845,498,724
  5. Step 5: Solve for x
    x = 993,845,498,724/459,146
  6. Step 6: Final answer
    x = 2,164,552.23

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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.