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Finding the Third Proportional to 499,996 and 1,100,048

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Solution

The third proportional to 499,996 and 1,100,048 is: 2,420,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,996 : 1,100,048 = 1,100,048 : x
  2. Step 2: Convert to fraction form
    499,996/1,100,048 = 1,100,048/x
  3. Step 3: Cross multiply
    499,996x = 1,100,048 × 1,100,048
  4. Step 4: Simplify right side
    499,996x = 1,210,105,602,304
  5. Step 5: Solve for x
    x = 1,210,105,602,304/499,996
  6. Step 6: Final answer
    x = 2,420,230.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.