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Finding the Third Proportional to 788,012 and 1,182,018

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Solution

The third proportional to 788,012 and 1,182,018 is: 1,773,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,012 : 1,182,018 = 1,182,018 : x
  2. Step 2: Convert to fraction form
    788,012/1,182,018 = 1,182,018/x
  3. Step 3: Cross multiply
    788,012x = 1,182,018 × 1,182,018
  4. Step 4: Simplify right side
    788,012x = 1,397,166,552,324
  5. Step 5: Solve for x
    x = 1,397,166,552,324/788,012
  6. Step 6: Final answer
    x = 1,773,027

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.