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Finding the Third Proportional to 647,431 and 1,320,563

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Solution

The third proportional to 647,431 and 1,320,563 is: 2,693,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,431 : 1,320,563 = 1,320,563 : x
  2. Step 2: Convert to fraction form
    647,431/1,320,563 = 1,320,563/x
  3. Step 3: Cross multiply
    647,431x = 1,320,563 × 1,320,563
  4. Step 4: Simplify right side
    647,431x = 1,743,886,636,969
  5. Step 5: Solve for x
    x = 1,743,886,636,969/647,431
  6. Step 6: Final answer
    x = 2,693,548.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.