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Finding the Third Proportional to 532,728 and 1,170,431

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Solution

The third proportional to 532,728 and 1,170,431 is: 2,571,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,728 : 1,170,431 = 1,170,431 : x
  2. Step 2: Convert to fraction form
    532,728/1,170,431 = 1,170,431/x
  3. Step 3: Cross multiply
    532,728x = 1,170,431 × 1,170,431
  4. Step 4: Simplify right side
    532,728x = 1,369,908,725,761
  5. Step 5: Solve for x
    x = 1,369,908,725,761/532,728
  6. Step 6: Final answer
    x = 2,571,497.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.