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Finding the Third Proportional to 523,036 and 1,129,016

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Solution

The third proportional to 523,036 and 1,129,016 is: 2,437,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,036 : 1,129,016 = 1,129,016 : x
  2. Step 2: Convert to fraction form
    523,036/1,129,016 = 1,129,016/x
  3. Step 3: Cross multiply
    523,036x = 1,129,016 × 1,129,016
  4. Step 4: Simplify right side
    523,036x = 1,274,677,128,256
  5. Step 5: Solve for x
    x = 1,274,677,128,256/523,036
  6. Step 6: Final answer
    x = 2,437,073.41

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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.