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Finding the Third Proportional to 504,644 and 1,102,168

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Solution

The third proportional to 504,644 and 1,102,168 is: 2,407,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,644 : 1,102,168 = 1,102,168 : x
  2. Step 2: Convert to fraction form
    504,644/1,102,168 = 1,102,168/x
  3. Step 3: Cross multiply
    504,644x = 1,102,168 × 1,102,168
  4. Step 4: Simplify right side
    504,644x = 1,214,774,300,224
  5. Step 5: Solve for x
    x = 1,214,774,300,224/504,644
  6. Step 6: Final answer
    x = 2,407,190.61

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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.