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Finding the Third Proportional to 1,798,134 and 3,825,111

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Solution

The third proportional to 1,798,134 and 3,825,111 is: 8,137,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,134 : 3,825,111 = 3,825,111 : x
  2. Step 2: Convert to fraction form
    1,798,134/3,825,111 = 3,825,111/x
  3. Step 3: Cross multiply
    1,798,134x = 3,825,111 × 3,825,111
  4. Step 4: Simplify right side
    1,798,134x = 14,631,474,162,321
  5. Step 5: Solve for x
    x = 14,631,474,162,321/1,798,134
  6. Step 6: Final answer
    x = 8,137,032.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.