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Finding the Third Proportional to 412,918 and 904,568

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Solution

The third proportional to 412,918 and 904,568 is: 1,981,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,918 : 904,568 = 904,568 : x
  2. Step 2: Convert to fraction form
    412,918/904,568 = 904,568/x
  3. Step 3: Cross multiply
    412,918x = 904,568 × 904,568
  4. Step 4: Simplify right side
    412,918x = 818,243,266,624
  5. Step 5: Solve for x
    x = 818,243,266,624/412,918
  6. Step 6: Final answer
    x = 1,981,612.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.