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Finding the Third Proportional to 1,447,976 and 3,116,896

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Solution

The third proportional to 1,447,976 and 3,116,896 is: 6,709,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,976 : 3,116,896 = 3,116,896 : x
  2. Step 2: Convert to fraction form
    1,447,976/3,116,896 = 3,116,896/x
  3. Step 3: Cross multiply
    1,447,976x = 3,116,896 × 3,116,896
  4. Step 4: Simplify right side
    1,447,976x = 9,715,040,674,816
  5. Step 5: Solve for x
    x = 9,715,040,674,816/1,447,976
  6. Step 6: Final answer
    x = 6,709,393.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.