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Finding the Third Proportional to 452,769 and 943,041

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Solution

The third proportional to 452,769 and 943,041 is: 1,964,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,769 : 943,041 = 943,041 : x
  2. Step 2: Convert to fraction form
    452,769/943,041 = 943,041/x
  3. Step 3: Cross multiply
    452,769x = 943,041 × 943,041
  4. Step 4: Simplify right side
    452,769x = 889,326,327,681
  5. Step 5: Solve for x
    x = 889,326,327,681/452,769
  6. Step 6: Final answer
    x = 1,964,194.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.