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Finding the Third Proportional to 1,258,743 and 2,741,532

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Solution

The third proportional to 1,258,743 and 2,741,532 is: 5,971,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,743 : 2,741,532 = 2,741,532 : x
  2. Step 2: Convert to fraction form
    1,258,743/2,741,532 = 2,741,532/x
  3. Step 3: Cross multiply
    1,258,743x = 2,741,532 × 2,741,532
  4. Step 4: Simplify right side
    1,258,743x = 7,515,997,707,024
  5. Step 5: Solve for x
    x = 7,515,997,707,024/1,258,743
  6. Step 6: Final answer
    x = 5,971,034.36

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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.