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Finding the Third Proportional to 703,632 and 1,372,269

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Solution

The third proportional to 703,632 and 1,372,269 is: 2,676,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,632 : 1,372,269 = 1,372,269 : x
  2. Step 2: Convert to fraction form
    703,632/1,372,269 = 1,372,269/x
  3. Step 3: Cross multiply
    703,632x = 1,372,269 × 1,372,269
  4. Step 4: Simplify right side
    703,632x = 1,883,122,208,361
  5. Step 5: Solve for x
    x = 1,883,122,208,361/703,632
  6. Step 6: Final answer
    x = 2,676,288.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.