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Finding the Third Proportional to 412,626 and 904,900

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Solution

The third proportional to 412,626 and 904,900 is: 1,984,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,626 : 904,900 = 904,900 : x
  2. Step 2: Convert to fraction form
    412,626/904,900 = 904,900/x
  3. Step 3: Cross multiply
    412,626x = 904,900 × 904,900
  4. Step 4: Simplify right side
    412,626x = 818,844,010,000
  5. Step 5: Solve for x
    x = 818,844,010,000/412,626
  6. Step 6: Final answer
    x = 1,984,470.22

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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.