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Finding the Third Proportional to 532,971 and 820,041

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Solution

The third proportional to 532,971 and 820,041 is: 1,261,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,971 : 820,041 = 820,041 : x
  2. Step 2: Convert to fraction form
    532,971/820,041 = 820,041/x
  3. Step 3: Cross multiply
    532,971x = 820,041 × 820,041
  4. Step 4: Simplify right side
    532,971x = 672,467,241,681
  5. Step 5: Solve for x
    x = 672,467,241,681/532,971
  6. Step 6: Final answer
    x = 1,261,733.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.