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Finding the Third Proportional to 780,544 and 1,622,320

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Solution

The third proportional to 780,544 and 1,622,320 is: 3,371,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,544 : 1,622,320 = 1,622,320 : x
  2. Step 2: Convert to fraction form
    780,544/1,622,320 = 1,622,320/x
  3. Step 3: Cross multiply
    780,544x = 1,622,320 × 1,622,320
  4. Step 4: Simplify right side
    780,544x = 2,631,922,182,400
  5. Step 5: Solve for x
    x = 2,631,922,182,400/780,544
  6. Step 6: Final answer
    x = 3,371,907.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.