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Finding the Third Proportional to 1,257,914 and 1,675,946

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Solution

The third proportional to 1,257,914 and 1,675,946 is: 2,232,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,914 : 1,675,946 = 1,675,946 : x
  2. Step 2: Convert to fraction form
    1,257,914/1,675,946 = 1,675,946/x
  3. Step 3: Cross multiply
    1,257,914x = 1,675,946 × 1,675,946
  4. Step 4: Simplify right side
    1,257,914x = 2,808,794,994,916
  5. Step 5: Solve for x
    x = 2,808,794,994,916/1,257,914
  6. Step 6: Final answer
    x = 2,232,899.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.