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Finding the Third Proportional to 589,039 and 1,281,182

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Solution

The third proportional to 589,039 and 1,281,182 is: 2,786,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,039 : 1,281,182 = 1,281,182 : x
  2. Step 2: Convert to fraction form
    589,039/1,281,182 = 1,281,182/x
  3. Step 3: Cross multiply
    589,039x = 1,281,182 × 1,281,182
  4. Step 4: Simplify right side
    589,039x = 1,641,427,317,124
  5. Step 5: Solve for x
    x = 1,641,427,317,124/589,039
  6. Step 6: Final answer
    x = 2,786,619.08

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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.