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Finding the Third Proportional to 645,732 and 1,317,744

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Solution

The third proportional to 645,732 and 1,317,744 is: 2,689,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,732 : 1,317,744 = 1,317,744 : x
  2. Step 2: Convert to fraction form
    645,732/1,317,744 = 1,317,744/x
  3. Step 3: Cross multiply
    645,732x = 1,317,744 × 1,317,744
  4. Step 4: Simplify right side
    645,732x = 1,736,449,249,536
  5. Step 5: Solve for x
    x = 1,736,449,249,536/645,732
  6. Step 6: Final answer
    x = 2,689,117.54

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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.