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Finding the Third Proportional to 783,776 and 1,172,622

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Solution

The third proportional to 783,776 and 1,172,622 is: 1,754,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,776 : 1,172,622 = 1,172,622 : x
  2. Step 2: Convert to fraction form
    783,776/1,172,622 = 1,172,622/x
  3. Step 3: Cross multiply
    783,776x = 1,172,622 × 1,172,622
  4. Step 4: Simplify right side
    783,776x = 1,375,042,354,884
  5. Step 5: Solve for x
    x = 1,375,042,354,884/783,776
  6. Step 6: Final answer
    x = 1,754,381.81

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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.