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Finding the Third Proportional to 446,471 and 1,053,741

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Solution

The third proportional to 446,471 and 1,053,741 is: 2,486,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,471 : 1,053,741 = 1,053,741 : x
  2. Step 2: Convert to fraction form
    446,471/1,053,741 = 1,053,741/x
  3. Step 3: Cross multiply
    446,471x = 1,053,741 × 1,053,741
  4. Step 4: Simplify right side
    446,471x = 1,110,370,095,081
  5. Step 5: Solve for x
    x = 1,110,370,095,081/446,471
  6. Step 6: Final answer
    x = 2,486,992.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.