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Finding the Third Proportional to 505,088 and 1,027,584

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Solution

The third proportional to 505,088 and 1,027,584 is: 2,090,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,088 : 1,027,584 = 1,027,584 : x
  2. Step 2: Convert to fraction form
    505,088/1,027,584 = 1,027,584/x
  3. Step 3: Cross multiply
    505,088x = 1,027,584 × 1,027,584
  4. Step 4: Simplify right side
    505,088x = 1,055,928,877,056
  5. Step 5: Solve for x
    x = 1,055,928,877,056/505,088
  6. Step 6: Final answer
    x = 2,090,583.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.