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Finding the Third Proportional to 2,054,031 and 4,432,845

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Solution

The third proportional to 2,054,031 and 4,432,845 is: 9,566,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,031 : 4,432,845 = 4,432,845 : x
  2. Step 2: Convert to fraction form
    2,054,031/4,432,845 = 4,432,845/x
  3. Step 3: Cross multiply
    2,054,031x = 4,432,845 × 4,432,845
  4. Step 4: Simplify right side
    2,054,031x = 19,650,114,794,025
  5. Step 5: Solve for x
    x = 19,650,114,794,025/2,054,031
  6. Step 6: Final answer
    x = 9,566,610.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.