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Finding the Third Proportional to 405,029 and 937,674

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Solution

The third proportional to 405,029 and 937,674 is: 2,170,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,029 : 937,674 = 937,674 : x
  2. Step 2: Convert to fraction form
    405,029/937,674 = 937,674/x
  3. Step 3: Cross multiply
    405,029x = 937,674 × 937,674
  4. Step 4: Simplify right side
    405,029x = 879,232,530,276
  5. Step 5: Solve for x
    x = 879,232,530,276/405,029
  6. Step 6: Final answer
    x = 2,170,789.08

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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.