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Finding the Third Proportional to 492,242 and 1,073,420

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Solution

The third proportional to 492,242 and 1,073,420 is: 2,340,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,242 : 1,073,420 = 1,073,420 : x
  2. Step 2: Convert to fraction form
    492,242/1,073,420 = 1,073,420/x
  3. Step 3: Cross multiply
    492,242x = 1,073,420 × 1,073,420
  4. Step 4: Simplify right side
    492,242x = 1,152,230,496,400
  5. Step 5: Solve for x
    x = 1,152,230,496,400/492,242
  6. Step 6: Final answer
    x = 2,340,780.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.