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Finding the Third Proportional to 770,314 and 1,126,945

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Solution

The third proportional to 770,314 and 1,126,945 is: 1,648,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,314 : 1,126,945 = 1,126,945 : x
  2. Step 2: Convert to fraction form
    770,314/1,126,945 = 1,126,945/x
  3. Step 3: Cross multiply
    770,314x = 1,126,945 × 1,126,945
  4. Step 4: Simplify right side
    770,314x = 1,270,005,033,025
  5. Step 5: Solve for x
    x = 1,270,005,033,025/770,314
  6. Step 6: Final answer
    x = 1,648,684.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.