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Finding the Third Proportional to 405,121.50 and 937,899

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Solution

The third proportional to 405,121.50 and 937,899 is: 2,171,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,121.50 : 937,899 = 937,899 : x
  2. Step 2: Convert to fraction form
    405,121.50/937,899 = 937,899/x
  3. Step 3: Cross multiply
    405,121.50x = 937,899 × 937,899
  4. Step 4: Simplify right side
    405,121.50x = 879,654,534,201
  5. Step 5: Solve for x
    x = 879,654,534,201/405,121.50
  6. Step 6: Final answer
    x = 2,171,335.10

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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.