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Finding the Third Proportional to 1,143,840 and 2,464,963

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Solution

The third proportional to 1,143,840 and 2,464,963 is: 5,311,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,840 : 2,464,963 = 2,464,963 : x
  2. Step 2: Convert to fraction form
    1,143,840/2,464,963 = 2,464,963/x
  3. Step 3: Cross multiply
    1,143,840x = 2,464,963 × 2,464,963
  4. Step 4: Simplify right side
    1,143,840x = 6,076,042,591,369
  5. Step 5: Solve for x
    x = 6,076,042,591,369/1,143,840
  6. Step 6: Final answer
    x = 5,311,968.97

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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.