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Finding the Third Proportional to 1,741,256 and 3,658,768

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Solution

The third proportional to 1,741,256 and 3,658,768 is: 7,687,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,256 : 3,658,768 = 3,658,768 : x
  2. Step 2: Convert to fraction form
    1,741,256/3,658,768 = 3,658,768/x
  3. Step 3: Cross multiply
    1,741,256x = 3,658,768 × 3,658,768
  4. Step 4: Simplify right side
    1,741,256x = 13,386,583,277,824
  5. Step 5: Solve for x
    x = 13,386,583,277,824/1,741,256
  6. Step 6: Final answer
    x = 7,687,889.25

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