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Finding the Third Proportional to 629,040 and 947,016

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Solution

The third proportional to 629,040 and 947,016 is: 1,425,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,040 : 947,016 = 947,016 : x
  2. Step 2: Convert to fraction form
    629,040/947,016 = 947,016/x
  3. Step 3: Cross multiply
    629,040x = 947,016 × 947,016
  4. Step 4: Simplify right side
    629,040x = 896,839,304,256
  5. Step 5: Solve for x
    x = 896,839,304,256/629,040
  6. Step 6: Final answer
    x = 1,425,726.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.