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Finding the Third Proportional to 389,018 and 844,429

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Solution

The third proportional to 389,018 and 844,429 is: 1,832,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,018 : 844,429 = 844,429 : x
  2. Step 2: Convert to fraction form
    389,018/844,429 = 844,429/x
  3. Step 3: Cross multiply
    389,018x = 844,429 × 844,429
  4. Step 4: Simplify right side
    389,018x = 713,060,336,041
  5. Step 5: Solve for x
    x = 713,060,336,041/389,018
  6. Step 6: Final answer
    x = 1,832,975.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.