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Finding the Third Proportional to 2,036,197 and 4,387,106

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Solution

The third proportional to 2,036,197 and 4,387,106 is: 9,452,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,197 : 4,387,106 = 4,387,106 : x
  2. Step 2: Convert to fraction form
    2,036,197/4,387,106 = 4,387,106/x
  3. Step 3: Cross multiply
    2,036,197x = 4,387,106 × 4,387,106
  4. Step 4: Simplify right side
    2,036,197x = 19,246,699,055,236
  5. Step 5: Solve for x
    x = 19,246,699,055,236/2,036,197
  6. Step 6: Final answer
    x = 9,452,277.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.