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Finding the Third Proportional to 754,720 and 1,025,520

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Solution

The third proportional to 754,720 and 1,025,520 is: 1,393,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,720 : 1,025,520 = 1,025,520 : x
  2. Step 2: Convert to fraction form
    754,720/1,025,520 = 1,025,520/x
  3. Step 3: Cross multiply
    754,720x = 1,025,520 × 1,025,520
  4. Step 4: Simplify right side
    754,720x = 1,051,691,270,400
  5. Step 5: Solve for x
    x = 1,051,691,270,400/754,720
  6. Step 6: Final answer
    x = 1,393,485.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.