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Finding the Third Proportional to 659,266 and 1,436,036

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Solution

The third proportional to 659,266 and 1,436,036 is: 3,128,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,266 : 1,436,036 = 1,436,036 : x
  2. Step 2: Convert to fraction form
    659,266/1,436,036 = 1,436,036/x
  3. Step 3: Cross multiply
    659,266x = 1,436,036 × 1,436,036
  4. Step 4: Simplify right side
    659,266x = 2,062,199,393,296
  5. Step 5: Solve for x
    x = 2,062,199,393,296/659,266
  6. Step 6: Final answer
    x = 3,128,023.28

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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.