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Finding the Third Proportional to 770,508 and 1,133,460

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Solution

The third proportional to 770,508 and 1,133,460 is: 1,667,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,508 : 1,133,460 = 1,133,460 : x
  2. Step 2: Convert to fraction form
    770,508/1,133,460 = 1,133,460/x
  3. Step 3: Cross multiply
    770,508x = 1,133,460 × 1,133,460
  4. Step 4: Simplify right side
    770,508x = 1,284,731,571,600
  5. Step 5: Solve for x
    x = 1,284,731,571,600/770,508
  6. Step 6: Final answer
    x = 1,667,382.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.