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Finding the Third Proportional to 1,384,480 and 3,003,968

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Solution

The third proportional to 1,384,480 and 3,003,968 is: 6,517,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,480 : 3,003,968 = 3,003,968 : x
  2. Step 2: Convert to fraction form
    1,384,480/3,003,968 = 3,003,968/x
  3. Step 3: Cross multiply
    1,384,480x = 3,003,968 × 3,003,968
  4. Step 4: Simplify right side
    1,384,480x = 9,023,823,745,024
  5. Step 5: Solve for x
    x = 9,023,823,745,024/1,384,480
  6. Step 6: Final answer
    x = 6,517,843.34

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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.