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Finding the Third Proportional to 498,881 and 886,951

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Solution

The third proportional to 498,881 and 886,951 is: 1,576,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,881 : 886,951 = 886,951 : x
  2. Step 2: Convert to fraction form
    498,881/886,951 = 886,951/x
  3. Step 3: Cross multiply
    498,881x = 886,951 × 886,951
  4. Step 4: Simplify right side
    498,881x = 786,682,076,401
  5. Step 5: Solve for x
    x = 786,682,076,401/498,881
  6. Step 6: Final answer
    x = 1,576,893.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.