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Finding the Third Proportional to 639,828 and 1,400,184

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Solution

The third proportional to 639,828 and 1,400,184 is: 3,064,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,828 : 1,400,184 = 1,400,184 : x
  2. Step 2: Convert to fraction form
    639,828/1,400,184 = 1,400,184/x
  3. Step 3: Cross multiply
    639,828x = 1,400,184 × 1,400,184
  4. Step 4: Simplify right side
    639,828x = 1,960,515,233,856
  5. Step 5: Solve for x
    x = 1,960,515,233,856/639,828
  6. Step 6: Final answer
    x = 3,064,128.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.