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Finding the Third Proportional to 1,206,970 and 2,609,946

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Solution

The third proportional to 1,206,970 and 2,609,946 is: 5,643,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,970 : 2,609,946 = 2,609,946 : x
  2. Step 2: Convert to fraction form
    1,206,970/2,609,946 = 2,609,946/x
  3. Step 3: Cross multiply
    1,206,970x = 2,609,946 × 2,609,946
  4. Step 4: Simplify right side
    1,206,970x = 6,811,818,122,916
  5. Step 5: Solve for x
    x = 6,811,818,122,916/1,206,970
  6. Step 6: Final answer
    x = 5,643,734.41

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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.