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Finding the Third Proportional to 1,478,905 and 3,181,977

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Solution

The third proportional to 1,478,905 and 3,181,977 is: 6,846,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,905 : 3,181,977 = 3,181,977 : x
  2. Step 2: Convert to fraction form
    1,478,905/3,181,977 = 3,181,977/x
  3. Step 3: Cross multiply
    1,478,905x = 3,181,977 × 3,181,977
  4. Step 4: Simplify right side
    1,478,905x = 10,124,977,628,529
  5. Step 5: Solve for x
    x = 10,124,977,628,529/1,478,905
  6. Step 6: Final answer
    x = 6,846,266.41

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Why These Related Problems?

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