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Finding the Third Proportional to 918,328 and 2,144,451

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Solution

The third proportional to 918,328 and 2,144,451 is: 5,007,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,328 : 2,144,451 = 2,144,451 : x
  2. Step 2: Convert to fraction form
    918,328/2,144,451 = 2,144,451/x
  3. Step 3: Cross multiply
    918,328x = 2,144,451 × 2,144,451
  4. Step 4: Simplify right side
    918,328x = 4,598,670,091,401
  5. Step 5: Solve for x
    x = 4,598,670,091,401/918,328
  6. Step 6: Final answer
    x = 5,007,655.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.