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Finding the Third Proportional to 767,400 and 1,614,336

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Solution

The third proportional to 767,400 and 1,614,336 is: 3,395,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,400 : 1,614,336 = 1,614,336 : x
  2. Step 2: Convert to fraction form
    767,400/1,614,336 = 1,614,336/x
  3. Step 3: Cross multiply
    767,400x = 1,614,336 × 1,614,336
  4. Step 4: Simplify right side
    767,400x = 2,606,080,720,896
  5. Step 5: Solve for x
    x = 2,606,080,720,896/767,400
  6. Step 6: Final answer
    x = 3,395,987.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.