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Finding the Third Proportional to 2,038,874 and 4,432,180

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Solution

The third proportional to 2,038,874 and 4,432,180 is: 9,634,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,874 : 4,432,180 = 4,432,180 : x
  2. Step 2: Convert to fraction form
    2,038,874/4,432,180 = 4,432,180/x
  3. Step 3: Cross multiply
    2,038,874x = 4,432,180 × 4,432,180
  4. Step 4: Simplify right side
    2,038,874x = 19,644,219,552,400
  5. Step 5: Solve for x
    x = 19,644,219,552,400/2,038,874
  6. Step 6: Final answer
    x = 9,634,837.44

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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.