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Finding the Third Proportional to 441,619 and 957,919

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Solution

The third proportional to 441,619 and 957,919 is: 2,077,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,619 : 957,919 = 957,919 : x
  2. Step 2: Convert to fraction form
    441,619/957,919 = 957,919/x
  3. Step 3: Cross multiply
    441,619x = 957,919 × 957,919
  4. Step 4: Simplify right side
    441,619x = 917,608,810,561
  5. Step 5: Solve for x
    x = 917,608,810,561/441,619
  6. Step 6: Final answer
    x = 2,077,829.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.