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Finding the Third Proportional to 785,266.50 and 1,245,456

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Solution

The third proportional to 785,266.50 and 1,245,456 is: 1,975,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,266.50 : 1,245,456 = 1,245,456 : x
  2. Step 2: Convert to fraction form
    785,266.50/1,245,456 = 1,245,456/x
  3. Step 3: Cross multiply
    785,266.50x = 1,245,456 × 1,245,456
  4. Step 4: Simplify right side
    785,266.50x = 1,551,160,647,936
  5. Step 5: Solve for x
    x = 1,551,160,647,936/785,266.50
  6. Step 6: Final answer
    x = 1,975,330.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.