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Finding the Third Proportional to 775,390 and 1,170,456

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Solution

The third proportional to 775,390 and 1,170,456 is: 1,766,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,390 : 1,170,456 = 1,170,456 : x
  2. Step 2: Convert to fraction form
    775,390/1,170,456 = 1,170,456/x
  3. Step 3: Cross multiply
    775,390x = 1,170,456 × 1,170,456
  4. Step 4: Simplify right side
    775,390x = 1,369,967,247,936
  5. Step 5: Solve for x
    x = 1,369,967,247,936/775,390
  6. Step 6: Final answer
    x = 1,766,810.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.