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Finding the Third Proportional to 438,514 and 946,976

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Solution

The third proportional to 438,514 and 946,976 is: 2,045,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,514 : 946,976 = 946,976 : x
  2. Step 2: Convert to fraction form
    438,514/946,976 = 946,976/x
  3. Step 3: Cross multiply
    438,514x = 946,976 × 946,976
  4. Step 4: Simplify right side
    438,514x = 896,763,544,576
  5. Step 5: Solve for x
    x = 896,763,544,576/438,514
  6. Step 6: Final answer
    x = 2,045,005.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.