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Finding the Third Proportional to 589,554 and 1,289,427.75

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Solution

The third proportional to 589,554 and 1,289,427.75 is: 2,820,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,554 : 1,289,427.75 = 1,289,427.75 : x
  2. Step 2: Convert to fraction form
    589,554/1,289,427.75 = 1,289,427.75/x
  3. Step 3: Cross multiply
    589,554x = 1,289,427.75 × 1,289,427.75
  4. Step 4: Simplify right side
    589,554x = 1,662,623,922,470.06
  5. Step 5: Solve for x
    x = 1,662,623,922,470.06/589,554
  6. Step 6: Final answer
    x = 2,820,138.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.