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Finding the Third Proportional to 770,328 and 1,126,962

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Solution

The third proportional to 770,328 and 1,126,962 is: 1,648,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,328 : 1,126,962 = 1,126,962 : x
  2. Step 2: Convert to fraction form
    770,328/1,126,962 = 1,126,962/x
  3. Step 3: Cross multiply
    770,328x = 1,126,962 × 1,126,962
  4. Step 4: Simplify right side
    770,328x = 1,270,043,349,444
  5. Step 5: Solve for x
    x = 1,270,043,349,444/770,328
  6. Step 6: Final answer
    x = 1,648,704.64

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Why These Related Problems?

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