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Finding the Third Proportional to 597,808 and 1,290,054

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Solution

The third proportional to 597,808 and 1,290,054 is: 2,783,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,808 : 1,290,054 = 1,290,054 : x
  2. Step 2: Convert to fraction form
    597,808/1,290,054 = 1,290,054/x
  3. Step 3: Cross multiply
    597,808x = 1,290,054 × 1,290,054
  4. Step 4: Simplify right side
    597,808x = 1,664,239,322,916
  5. Step 5: Solve for x
    x = 1,664,239,322,916/597,808
  6. Step 6: Final answer
    x = 2,783,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.