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Finding the Third Proportional to 1,210,794 and 1,825,407

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Solution

The third proportional to 1,210,794 and 1,825,407 is: 2,752,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,794 : 1,825,407 = 1,825,407 : x
  2. Step 2: Convert to fraction form
    1,210,794/1,825,407 = 1,825,407/x
  3. Step 3: Cross multiply
    1,210,794x = 1,825,407 × 1,825,407
  4. Step 4: Simplify right side
    1,210,794x = 3,332,110,715,649
  5. Step 5: Solve for x
    x = 3,332,110,715,649/1,210,794
  6. Step 6: Final answer
    x = 2,752,004.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.