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Finding the Third Proportional to 475,992 and 1,030,356

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Solution

The third proportional to 475,992 and 1,030,356 is: 2,230,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,992 : 1,030,356 = 1,030,356 : x
  2. Step 2: Convert to fraction form
    475,992/1,030,356 = 1,030,356/x
  3. Step 3: Cross multiply
    475,992x = 1,030,356 × 1,030,356
  4. Step 4: Simplify right side
    475,992x = 1,061,633,486,736
  5. Step 5: Solve for x
    x = 1,061,633,486,736/475,992
  6. Step 6: Final answer
    x = 2,230,359.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.