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Finding the Third Proportional to 921,144 and 2,171,364

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Solution

The third proportional to 921,144 and 2,171,364 is: 5,118,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,144 : 2,171,364 = 2,171,364 : x
  2. Step 2: Convert to fraction form
    921,144/2,171,364 = 2,171,364/x
  3. Step 3: Cross multiply
    921,144x = 2,171,364 × 2,171,364
  4. Step 4: Simplify right side
    921,144x = 4,714,821,620,496
  5. Step 5: Solve for x
    x = 4,714,821,620,496/921,144
  6. Step 6: Final answer
    x = 5,118,441.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.