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Finding the Third Proportional to 505,088 and 1,122,284

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Solution

The third proportional to 505,088 and 1,122,284 is: 2,493,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,088 : 1,122,284 = 1,122,284 : x
  2. Step 2: Convert to fraction form
    505,088/1,122,284 = 1,122,284/x
  3. Step 3: Cross multiply
    505,088x = 1,122,284 × 1,122,284
  4. Step 4: Simplify right side
    505,088x = 1,259,521,376,656
  5. Step 5: Solve for x
    x = 1,259,521,376,656/505,088
  6. Step 6: Final answer
    x = 2,493,667.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.