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Finding the Third Proportional to 1,213,164 and 1,902,933

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Solution

The third proportional to 1,213,164 and 1,902,933 is: 2,984,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,164 : 1,902,933 = 1,902,933 : x
  2. Step 2: Convert to fraction form
    1,213,164/1,902,933 = 1,902,933/x
  3. Step 3: Cross multiply
    1,213,164x = 1,902,933 × 1,902,933
  4. Step 4: Simplify right side
    1,213,164x = 3,621,154,002,489
  5. Step 5: Solve for x
    x = 3,621,154,002,489/1,213,164
  6. Step 6: Final answer
    x = 2,984,884.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.