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Finding the Third Proportional to 486,694 and 1,048,271

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Solution

The third proportional to 486,694 and 1,048,271 is: 2,257,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,694 : 1,048,271 = 1,048,271 : x
  2. Step 2: Convert to fraction form
    486,694/1,048,271 = 1,048,271/x
  3. Step 3: Cross multiply
    486,694x = 1,048,271 × 1,048,271
  4. Step 4: Simplify right side
    486,694x = 1,098,872,089,441
  5. Step 5: Solve for x
    x = 1,098,872,089,441/486,694
  6. Step 6: Final answer
    x = 2,257,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.