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Finding the Third Proportional to 601,353 and 1,296,009

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Solution

The third proportional to 601,353 and 1,296,009 is: 2,793,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,353 : 1,296,009 = 1,296,009 : x
  2. Step 2: Convert to fraction form
    601,353/1,296,009 = 1,296,009/x
  3. Step 3: Cross multiply
    601,353x = 1,296,009 × 1,296,009
  4. Step 4: Simplify right side
    601,353x = 1,679,639,328,081
  5. Step 5: Solve for x
    x = 1,679,639,328,081/601,353
  6. Step 6: Final answer
    x = 2,793,100.44

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