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Finding the Third Proportional to 413,807 and 886,672

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Solution

The third proportional to 413,807 and 886,672 is: 1,899,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,807 : 886,672 = 886,672 : x
  2. Step 2: Convert to fraction form
    413,807/886,672 = 886,672/x
  3. Step 3: Cross multiply
    413,807x = 886,672 × 886,672
  4. Step 4: Simplify right side
    413,807x = 786,187,235,584
  5. Step 5: Solve for x
    x = 786,187,235,584/413,807
  6. Step 6: Final answer
    x = 1,899,888.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.