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Finding the Third Proportional to 767,960 and 1,080,984

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Solution

The third proportional to 767,960 and 1,080,984 is: 1,521,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,960 : 1,080,984 = 1,080,984 : x
  2. Step 2: Convert to fraction form
    767,960/1,080,984 = 1,080,984/x
  3. Step 3: Cross multiply
    767,960x = 1,080,984 × 1,080,984
  4. Step 4: Simplify right side
    767,960x = 1,168,526,408,256
  5. Step 5: Solve for x
    x = 1,168,526,408,256/767,960
  6. Step 6: Final answer
    x = 1,521,598.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.