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Finding the Third Proportional to 626,840 and 941,628

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Solution

The third proportional to 626,840 and 941,628 is: 1,414,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,840 : 941,628 = 941,628 : x
  2. Step 2: Convert to fraction form
    626,840/941,628 = 941,628/x
  3. Step 3: Cross multiply
    626,840x = 941,628 × 941,628
  4. Step 4: Simplify right side
    626,840x = 886,663,290,384
  5. Step 5: Solve for x
    x = 886,663,290,384/626,840
  6. Step 6: Final answer
    x = 1,414,496.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.