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Finding the Third Proportional to 763,845 and 1,664,655

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Solution

The third proportional to 763,845 and 1,664,655 is: 3,627,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,845 : 1,664,655 = 1,664,655 : x
  2. Step 2: Convert to fraction form
    763,845/1,664,655 = 1,664,655/x
  3. Step 3: Cross multiply
    763,845x = 1,664,655 × 1,664,655
  4. Step 4: Simplify right side
    763,845x = 2,771,076,269,025
  5. Step 5: Solve for x
    x = 2,771,076,269,025/763,845
  6. Step 6: Final answer
    x = 3,627,799.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.