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Finding the Third Proportional to 736,781 and 1,628,416

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Solution

The third proportional to 736,781 and 1,628,416 is: 3,599,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,781 : 1,628,416 = 1,628,416 : x
  2. Step 2: Convert to fraction form
    736,781/1,628,416 = 1,628,416/x
  3. Step 3: Cross multiply
    736,781x = 1,628,416 × 1,628,416
  4. Step 4: Simplify right side
    736,781x = 2,651,738,669,056
  5. Step 5: Solve for x
    x = 2,651,738,669,056/736,781
  6. Step 6: Final answer
    x = 3,599,086.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.