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Finding the Third Proportional to 412,944 and 905,504

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Solution

The third proportional to 412,944 and 905,504 is: 1,985,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,944 : 905,504 = 905,504 : x
  2. Step 2: Convert to fraction form
    412,944/905,504 = 905,504/x
  3. Step 3: Cross multiply
    412,944x = 905,504 × 905,504
  4. Step 4: Simplify right side
    412,944x = 819,937,494,016
  5. Step 5: Solve for x
    x = 819,937,494,016/412,944
  6. Step 6: Final answer
    x = 1,985,590.04

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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.