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Finding the Third Proportional to 589,112 and 1,283,196

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Solution

The third proportional to 589,112 and 1,283,196 is: 2,795,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,112 : 1,283,196 = 1,283,196 : x
  2. Step 2: Convert to fraction form
    589,112/1,283,196 = 1,283,196/x
  3. Step 3: Cross multiply
    589,112x = 1,283,196 × 1,283,196
  4. Step 4: Simplify right side
    589,112x = 1,646,591,974,416
  5. Step 5: Solve for x
    x = 1,646,591,974,416/589,112
  6. Step 6: Final answer
    x = 2,795,040.63

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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.