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Finding the Third Proportional to 754,024 and 1,560,536

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Solution

The third proportional to 754,024 and 1,560,536 is: 3,229,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,024 : 1,560,536 = 1,560,536 : x
  2. Step 2: Convert to fraction form
    754,024/1,560,536 = 1,560,536/x
  3. Step 3: Cross multiply
    754,024x = 1,560,536 × 1,560,536
  4. Step 4: Simplify right side
    754,024x = 2,435,272,607,296
  5. Step 5: Solve for x
    x = 2,435,272,607,296/754,024
  6. Step 6: Final answer
    x = 3,229,701.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.