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Finding the Third Proportional to 427,024 and 988,456

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Solution

The third proportional to 427,024 and 988,456 is: 2,288,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,024 : 988,456 = 988,456 : x
  2. Step 2: Convert to fraction form
    427,024/988,456 = 988,456/x
  3. Step 3: Cross multiply
    427,024x = 988,456 × 988,456
  4. Step 4: Simplify right side
    427,024x = 977,045,263,936
  5. Step 5: Solve for x
    x = 977,045,263,936/427,024
  6. Step 6: Final answer
    x = 2,288,033.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.