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Finding the Third Proportional to 598,705 and 1,330,271

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Solution

The third proportional to 598,705 and 1,330,271 is: 2,955,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,705 : 1,330,271 = 1,330,271 : x
  2. Step 2: Convert to fraction form
    598,705/1,330,271 = 1,330,271/x
  3. Step 3: Cross multiply
    598,705x = 1,330,271 × 1,330,271
  4. Step 4: Simplify right side
    598,705x = 1,769,620,933,441
  5. Step 5: Solve for x
    x = 1,769,620,933,441/598,705
  6. Step 6: Final answer
    x = 2,955,747.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.