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Finding the Third Proportional to 372,036 and 803,976

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Solution

The third proportional to 372,036 and 803,976 is: 1,737,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,036 : 803,976 = 803,976 : x
  2. Step 2: Convert to fraction form
    372,036/803,976 = 803,976/x
  3. Step 3: Cross multiply
    372,036x = 803,976 × 803,976
  4. Step 4: Simplify right side
    372,036x = 646,377,408,576
  5. Step 5: Solve for x
    x = 646,377,408,576/372,036
  6. Step 6: Final answer
    x = 1,737,405.54

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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.