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Finding the Third Proportional to 1,045,947 and 2,257,782

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Solution

The third proportional to 1,045,947 and 2,257,782 is: 4,873,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,947 : 2,257,782 = 2,257,782 : x
  2. Step 2: Convert to fraction form
    1,045,947/2,257,782 = 2,257,782/x
  3. Step 3: Cross multiply
    1,045,947x = 2,257,782 × 2,257,782
  4. Step 4: Simplify right side
    1,045,947x = 5,097,579,559,524
  5. Step 5: Solve for x
    x = 5,097,579,559,524/1,045,947
  6. Step 6: Final answer
    x = 4,873,649.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.