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Finding the Third Proportional to 459,297 and 985,035

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Solution

The third proportional to 459,297 and 985,035 is: 2,112,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,297 : 985,035 = 985,035 : x
  2. Step 2: Convert to fraction form
    459,297/985,035 = 985,035/x
  3. Step 3: Cross multiply
    459,297x = 985,035 × 985,035
  4. Step 4: Simplify right side
    459,297x = 970,293,951,225
  5. Step 5: Solve for x
    x = 970,293,951,225/459,297
  6. Step 6: Final answer
    x = 2,112,563.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.