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Finding the Third Proportional to 767,340 and 1,201,104

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Solution

The third proportional to 767,340 and 1,201,104 is: 1,880,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,340 : 1,201,104 = 1,201,104 : x
  2. Step 2: Convert to fraction form
    767,340/1,201,104 = 1,201,104/x
  3. Step 3: Cross multiply
    767,340x = 1,201,104 × 1,201,104
  4. Step 4: Simplify right side
    767,340x = 1,442,650,818,816
  5. Step 5: Solve for x
    x = 1,442,650,818,816/767,340
  6. Step 6: Final answer
    x = 1,880,067.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.