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Finding the Third Proportional to 598,716 and 1,330,294

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Solution

The third proportional to 598,716 and 1,330,294 is: 2,955,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,716 : 1,330,294 = 1,330,294 : x
  2. Step 2: Convert to fraction form
    598,716/1,330,294 = 1,330,294/x
  3. Step 3: Cross multiply
    598,716x = 1,330,294 × 1,330,294
  4. Step 4: Simplify right side
    598,716x = 1,769,682,126,436
  5. Step 5: Solve for x
    x = 1,769,682,126,436/598,716
  6. Step 6: Final answer
    x = 2,955,795.61

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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.