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Finding the Third Proportional to 644,014 and 874,623

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Solution

The third proportional to 644,014 and 874,623 is: 1,187,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,014 : 874,623 = 874,623 : x
  2. Step 2: Convert to fraction form
    644,014/874,623 = 874,623/x
  3. Step 3: Cross multiply
    644,014x = 874,623 × 874,623
  4. Step 4: Simplify right side
    644,014x = 764,965,392,129
  5. Step 5: Solve for x
    x = 764,965,392,129/644,014
  6. Step 6: Final answer
    x = 1,187,808.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.