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Finding the Third Proportional to 683,996 and 1,484,814

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Solution

The third proportional to 683,996 and 1,484,814 is: 3,223,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,996 : 1,484,814 = 1,484,814 : x
  2. Step 2: Convert to fraction form
    683,996/1,484,814 = 1,484,814/x
  3. Step 3: Cross multiply
    683,996x = 1,484,814 × 1,484,814
  4. Step 4: Simplify right side
    683,996x = 2,204,672,614,596
  5. Step 5: Solve for x
    x = 2,204,672,614,596/683,996
  6. Step 6: Final answer
    x = 3,223,224.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.