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Finding the Third Proportional to 609,039 and 851,472

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Solution

The third proportional to 609,039 and 851,472 is: 1,190,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,039 : 851,472 = 851,472 : x
  2. Step 2: Convert to fraction form
    609,039/851,472 = 851,472/x
  3. Step 3: Cross multiply
    609,039x = 851,472 × 851,472
  4. Step 4: Simplify right side
    609,039x = 725,004,566,784
  5. Step 5: Solve for x
    x = 725,004,566,784/609,039
  6. Step 6: Final answer
    x = 1,190,407.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.