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Finding the Third Proportional to 1,079,784 and 2,362,938

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Solution

The third proportional to 1,079,784 and 2,362,938 is: 5,170,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,784 : 2,362,938 = 2,362,938 : x
  2. Step 2: Convert to fraction form
    1,079,784/2,362,938 = 2,362,938/x
  3. Step 3: Cross multiply
    1,079,784x = 2,362,938 × 2,362,938
  4. Step 4: Simplify right side
    1,079,784x = 5,583,475,991,844
  5. Step 5: Solve for x
    x = 5,583,475,991,844/1,079,784
  6. Step 6: Final answer
    x = 5,170,919.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.