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Finding the Third Proportional to 1,231,034 and 1,924,311

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Solution

The third proportional to 1,231,034 and 1,924,311 is: 3,008,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,034 : 1,924,311 = 1,924,311 : x
  2. Step 2: Convert to fraction form
    1,231,034/1,924,311 = 1,924,311/x
  3. Step 3: Cross multiply
    1,231,034x = 1,924,311 × 1,924,311
  4. Step 4: Simplify right side
    1,231,034x = 3,702,972,824,721
  5. Step 5: Solve for x
    x = 3,702,972,824,721/1,231,034
  6. Step 6: Final answer
    x = 3,008,018.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.