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Finding the Third Proportional to 701,125 and 1,531,946

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Solution

The third proportional to 701,125 and 1,531,946 is: 3,347,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,125 : 1,531,946 = 1,531,946 : x
  2. Step 2: Convert to fraction form
    701,125/1,531,946 = 1,531,946/x
  3. Step 3: Cross multiply
    701,125x = 1,531,946 × 1,531,946
  4. Step 4: Simplify right side
    701,125x = 2,346,858,546,916
  5. Step 5: Solve for x
    x = 2,346,858,546,916/701,125
  6. Step 6: Final answer
    x = 3,347,275.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.