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Finding the Third Proportional to 788,017 and 1,182,022

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Solution

The third proportional to 788,017 and 1,182,022 is: 1,773,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,017 : 1,182,022 = 1,182,022 : x
  2. Step 2: Convert to fraction form
    788,017/1,182,022 = 1,182,022/x
  3. Step 3: Cross multiply
    788,017x = 1,182,022 × 1,182,022
  4. Step 4: Simplify right side
    788,017x = 1,397,176,008,484
  5. Step 5: Solve for x
    x = 1,397,176,008,484/788,017
  6. Step 6: Final answer
    x = 1,773,027.75

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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.