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Finding the Third Proportional to 790,652 and 1,692,832

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Solution

The third proportional to 790,652 and 1,692,832 is: 3,624,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,652 : 1,692,832 = 1,692,832 : x
  2. Step 2: Convert to fraction form
    790,652/1,692,832 = 1,692,832/x
  3. Step 3: Cross multiply
    790,652x = 1,692,832 × 1,692,832
  4. Step 4: Simplify right side
    790,652x = 2,865,680,180,224
  5. Step 5: Solve for x
    x = 2,865,680,180,224/790,652
  6. Step 6: Final answer
    x = 3,624,451.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.