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Finding the Third Proportional to 412,416 and 904,544

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Solution

The third proportional to 412,416 and 904,544 is: 1,983,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,416 : 904,544 = 904,544 : x
  2. Step 2: Convert to fraction form
    412,416/904,544 = 904,544/x
  3. Step 3: Cross multiply
    412,416x = 904,544 × 904,544
  4. Step 4: Simplify right side
    412,416x = 818,199,847,936
  5. Step 5: Solve for x
    x = 818,199,847,936/412,416
  6. Step 6: Final answer
    x = 1,983,918.78

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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.