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Finding the Third Proportional to 405,042 and 937,698

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Solution

The third proportional to 405,042 and 937,698 is: 2,170,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,042 : 937,698 = 937,698 : x
  2. Step 2: Convert to fraction form
    405,042/937,698 = 937,698/x
  3. Step 3: Cross multiply
    405,042x = 937,698 × 937,698
  4. Step 4: Simplify right side
    405,042x = 879,277,539,204
  5. Step 5: Solve for x
    x = 879,277,539,204/405,042
  6. Step 6: Final answer
    x = 2,170,830.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.