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Finding the Third Proportional to 582,886 and 874,869

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Solution

The third proportional to 582,886 and 874,869 is: 1,313,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,886 : 874,869 = 874,869 : x
  2. Step 2: Convert to fraction form
    582,886/874,869 = 874,869/x
  3. Step 3: Cross multiply
    582,886x = 874,869 × 874,869
  4. Step 4: Simplify right side
    582,886x = 765,395,767,161
  5. Step 5: Solve for x
    x = 765,395,767,161/582,886
  6. Step 6: Final answer
    x = 1,313,114.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.