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Finding the Third Proportional to 647,506 and 1,320,704

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Solution

The third proportional to 647,506 and 1,320,704 is: 2,693,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,506 : 1,320,704 = 1,320,704 : x
  2. Step 2: Convert to fraction form
    647,506/1,320,704 = 1,320,704/x
  3. Step 3: Cross multiply
    647,506x = 1,320,704 × 1,320,704
  4. Step 4: Simplify right side
    647,506x = 1,744,259,055,616
  5. Step 5: Solve for x
    x = 1,744,259,055,616/647,506
  6. Step 6: Final answer
    x = 2,693,811.42

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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.