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Finding the Third Proportional to 623,667 and 1,321,494

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Solution

The third proportional to 623,667 and 1,321,494 is: 2,800,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,667 : 1,321,494 = 1,321,494 : x
  2. Step 2: Convert to fraction form
    623,667/1,321,494 = 1,321,494/x
  3. Step 3: Cross multiply
    623,667x = 1,321,494 × 1,321,494
  4. Step 4: Simplify right side
    623,667x = 1,746,346,392,036
  5. Step 5: Solve for x
    x = 1,746,346,392,036/623,667
  6. Step 6: Final answer
    x = 2,800,126.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.