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Finding the Third Proportional to 475,992 and 1,001,068

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Solution

The third proportional to 475,992 and 1,001,068 is: 2,105,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992 : 1,001,068 = 1,001,068 : x
  2. Step 2: Convert to fraction form
    475,992/1,001,068 = 1,001,068/x
  3. Step 3: Cross multiply
    475,992x = 1,001,068 × 1,001,068
  4. Step 4: Simplify right side
    475,992x = 1,002,137,140,624
  5. Step 5: Solve for x
    x = 1,002,137,140,624/475,992
  6. Step 6: Final answer
    x = 2,105,365.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.