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Finding the Third Proportional to 492,037 and 1,065,683

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Solution

The third proportional to 492,037 and 1,065,683 is: 2,308,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,037 : 1,065,683 = 1,065,683 : x
  2. Step 2: Convert to fraction form
    492,037/1,065,683 = 1,065,683/x
  3. Step 3: Cross multiply
    492,037x = 1,065,683 × 1,065,683
  4. Step 4: Simplify right side
    492,037x = 1,135,680,256,489
  5. Step 5: Solve for x
    x = 1,135,680,256,489/492,037
  6. Step 6: Final answer
    x = 2,308,119.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.