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Finding the Third Proportional to 598,711 and 1,330,283

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Solution

The third proportional to 598,711 and 1,330,283 is: 2,955,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,711 : 1,330,283 = 1,330,283 : x
  2. Step 2: Convert to fraction form
    598,711/1,330,283 = 1,330,283/x
  3. Step 3: Cross multiply
    598,711x = 1,330,283 × 1,330,283
  4. Step 4: Simplify right side
    598,711x = 1,769,652,860,089
  5. Step 5: Solve for x
    x = 1,769,652,860,089/598,711
  6. Step 6: Final answer
    x = 2,955,771.42

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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.