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Finding the Third Proportional to 445,036 and 926,888

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Solution

The third proportional to 445,036 and 926,888 is: 1,930,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,036 : 926,888 = 926,888 : x
  2. Step 2: Convert to fraction form
    445,036/926,888 = 926,888/x
  3. Step 3: Cross multiply
    445,036x = 926,888 × 926,888
  4. Step 4: Simplify right side
    445,036x = 859,121,364,544
  5. Step 5: Solve for x
    x = 859,121,364,544/445,036
  6. Step 6: Final answer
    x = 1,930,453.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.