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Finding the Third Proportional to 479,898 and 1,110,969

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Solution

The third proportional to 479,898 and 1,110,969 is: 2,571,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,898 : 1,110,969 = 1,110,969 : x
  2. Step 2: Convert to fraction form
    479,898/1,110,969 = 1,110,969/x
  3. Step 3: Cross multiply
    479,898x = 1,110,969 × 1,110,969
  4. Step 4: Simplify right side
    479,898x = 1,234,252,118,961
  5. Step 5: Solve for x
    x = 1,234,252,118,961/479,898
  6. Step 6: Final answer
    x = 2,571,905.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.