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Finding the Third Proportional to 433,944 and 940,058

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Solution

The third proportional to 433,944 and 940,058 is: 2,036,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,944 : 940,058 = 940,058 : x
  2. Step 2: Convert to fraction form
    433,944/940,058 = 940,058/x
  3. Step 3: Cross multiply
    433,944x = 940,058 × 940,058
  4. Step 4: Simplify right side
    433,944x = 883,709,043,364
  5. Step 5: Solve for x
    x = 883,709,043,364/433,944
  6. Step 6: Final answer
    x = 2,036,458.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.