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Finding the Third Proportional to 1,196,467 and 1,775,914

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Solution

The third proportional to 1,196,467 and 1,775,914 is: 2,635,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,467 : 1,775,914 = 1,775,914 : x
  2. Step 2: Convert to fraction form
    1,196,467/1,775,914 = 1,775,914/x
  3. Step 3: Cross multiply
    1,196,467x = 1,775,914 × 1,775,914
  4. Step 4: Simplify right side
    1,196,467x = 3,153,870,535,396
  5. Step 5: Solve for x
    x = 3,153,870,535,396/1,196,467
  6. Step 6: Final answer
    x = 2,635,986.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.