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Finding the Third Proportional to 421,728 and 918,330

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Solution

The third proportional to 421,728 and 918,330 is: 1,999,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,728 : 918,330 = 918,330 : x
  2. Step 2: Convert to fraction form
    421,728/918,330 = 918,330/x
  3. Step 3: Cross multiply
    421,728x = 918,330 × 918,330
  4. Step 4: Simplify right side
    421,728x = 843,329,988,900
  5. Step 5: Solve for x
    x = 843,329,988,900/421,728
  6. Step 6: Final answer
    x = 1,999,701.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.