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Finding the Third Proportional to 438,034 and 941,504

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Solution

The third proportional to 438,034 and 941,504 is: 2,023,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,034 : 941,504 = 941,504 : x
  2. Step 2: Convert to fraction form
    438,034/941,504 = 941,504/x
  3. Step 3: Cross multiply
    438,034x = 941,504 × 941,504
  4. Step 4: Simplify right side
    438,034x = 886,429,782,016
  5. Step 5: Solve for x
    x = 886,429,782,016/438,034
  6. Step 6: Final answer
    x = 2,023,655.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.