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Finding the Third Proportional to 409,674 and 852,048

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Solution

The third proportional to 409,674 and 852,048 is: 1,772,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,674 : 852,048 = 852,048 : x
  2. Step 2: Convert to fraction form
    409,674/852,048 = 852,048/x
  3. Step 3: Cross multiply
    409,674x = 852,048 × 852,048
  4. Step 4: Simplify right side
    409,674x = 725,985,794,304
  5. Step 5: Solve for x
    x = 725,985,794,304/409,674
  6. Step 6: Final answer
    x = 1,772,106.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.