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Finding the Third Proportional to 389,020 and 844,434

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Solution

The third proportional to 389,020 and 844,434 is: 1,832,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,020 : 844,434 = 844,434 : x
  2. Step 2: Convert to fraction form
    389,020/844,434 = 844,434/x
  3. Step 3: Cross multiply
    389,020x = 844,434 × 844,434
  4. Step 4: Simplify right side
    389,020x = 713,068,780,356
  5. Step 5: Solve for x
    x = 713,068,780,356/389,020
  6. Step 6: Final answer
    x = 1,832,987.46

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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.