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Finding the Third Proportional to 767,485 and 1,628,480

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Solution

The third proportional to 767,485 and 1,628,480 is: 3,455,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,485 : 1,628,480 = 1,628,480 : x
  2. Step 2: Convert to fraction form
    767,485/1,628,480 = 1,628,480/x
  3. Step 3: Cross multiply
    767,485x = 1,628,480 × 1,628,480
  4. Step 4: Simplify right side
    767,485x = 2,651,947,110,400
  5. Step 5: Solve for x
    x = 2,651,947,110,400/767,485
  6. Step 6: Final answer
    x = 3,455,373.21

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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.