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Finding the Third Proportional to 645,740 and 1,317,760

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Solution

The third proportional to 645,740 and 1,317,760 is: 2,689,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,740 : 1,317,760 = 1,317,760 : x
  2. Step 2: Convert to fraction form
    645,740/1,317,760 = 1,317,760/x
  3. Step 3: Cross multiply
    645,740x = 1,317,760 × 1,317,760
  4. Step 4: Simplify right side
    645,740x = 1,736,491,417,600
  5. Step 5: Solve for x
    x = 1,736,491,417,600/645,740
  6. Step 6: Final answer
    x = 2,689,149.53

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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.