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Finding the Third Proportional to 405,249 and 938,157

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Solution

The third proportional to 405,249 and 938,157 is: 2,171,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,249 : 938,157 = 938,157 : x
  2. Step 2: Convert to fraction form
    405,249/938,157 = 938,157/x
  3. Step 3: Cross multiply
    405,249x = 938,157 × 938,157
  4. Step 4: Simplify right side
    405,249x = 880,138,556,649
  5. Step 5: Solve for x
    x = 880,138,556,649/405,249
  6. Step 6: Final answer
    x = 2,171,846.34

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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.