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Finding the Third Proportional to 477,396 and 1,040,004

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Solution

The third proportional to 477,396 and 1,040,004 is: 2,265,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,396 : 1,040,004 = 1,040,004 : x
  2. Step 2: Convert to fraction form
    477,396/1,040,004 = 1,040,004/x
  3. Step 3: Cross multiply
    477,396x = 1,040,004 × 1,040,004
  4. Step 4: Simplify right side
    477,396x = 1,081,608,320,016
  5. Step 5: Solve for x
    x = 1,081,608,320,016/477,396
  6. Step 6: Final answer
    x = 2,265,641.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.