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Finding the Third Proportional to 767,432 and 1,628,380

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Solution

The third proportional to 767,432 and 1,628,380 is: 3,455,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,432 : 1,628,380 = 1,628,380 : x
  2. Step 2: Convert to fraction form
    767,432/1,628,380 = 1,628,380/x
  3. Step 3: Cross multiply
    767,432x = 1,628,380 × 1,628,380
  4. Step 4: Simplify right side
    767,432x = 2,651,621,424,400
  5. Step 5: Solve for x
    x = 2,651,621,424,400/767,432
  6. Step 6: Final answer
    x = 3,455,187.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.