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Finding the Third Proportional to 405,031 and 937,679

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Solution

The third proportional to 405,031 and 937,679 is: 2,170,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,031 : 937,679 = 937,679 : x
  2. Step 2: Convert to fraction form
    405,031/937,679 = 937,679/x
  3. Step 3: Cross multiply
    405,031x = 937,679 × 937,679
  4. Step 4: Simplify right side
    405,031x = 879,241,907,041
  5. Step 5: Solve for x
    x = 879,241,907,041/405,031
  6. Step 6: Final answer
    x = 2,170,801.51

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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.