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Finding the Third Proportional to 783,888 and 1,172,772

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Solution

The third proportional to 783,888 and 1,172,772 is: 1,754,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,888 : 1,172,772 = 1,172,772 : x
  2. Step 2: Convert to fraction form
    783,888/1,172,772 = 1,172,772/x
  3. Step 3: Cross multiply
    783,888x = 1,172,772 × 1,172,772
  4. Step 4: Simplify right side
    783,888x = 1,375,394,163,984
  5. Step 5: Solve for x
    x = 1,375,394,163,984/783,888
  6. Step 6: Final answer
    x = 1,754,579.95

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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.