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Finding the Third Proportional to 751,278 and 1,670,532

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Solution

The third proportional to 751,278 and 1,670,532 is: 3,714,573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,278 : 1,670,532 = 1,670,532 : x
  2. Step 2: Convert to fraction form
    751,278/1,670,532 = 1,670,532/x
  3. Step 3: Cross multiply
    751,278x = 1,670,532 × 1,670,532
  4. Step 4: Simplify right side
    751,278x = 2,790,677,163,024
  5. Step 5: Solve for x
    x = 2,790,677,163,024/751,278
  6. Step 6: Final answer
    x = 3,714,573.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.