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Finding the Third Proportional to 1,681,238 and 3,648,256

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Solution

The third proportional to 1,681,238 and 3,648,256 is: 7,916,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,238 : 3,648,256 = 3,648,256 : x
  2. Step 2: Convert to fraction form
    1,681,238/3,648,256 = 3,648,256/x
  3. Step 3: Cross multiply
    1,681,238x = 3,648,256 × 3,648,256
  4. Step 4: Simplify right side
    1,681,238x = 13,309,771,841,536
  5. Step 5: Solve for x
    x = 13,309,771,841,536/1,681,238
  6. Step 6: Final answer
    x = 7,916,649.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.