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Finding the Third Proportional to 1,946,726 and 4,192,946

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Solution

The third proportional to 1,946,726 and 4,192,946 is: 9,030,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,726 : 4,192,946 = 4,192,946 : x
  2. Step 2: Convert to fraction form
    1,946,726/4,192,946 = 4,192,946/x
  3. Step 3: Cross multiply
    1,946,726x = 4,192,946 × 4,192,946
  4. Step 4: Simplify right side
    1,946,726x = 17,580,796,158,916
  5. Step 5: Solve for x
    x = 17,580,796,158,916/1,946,726
  6. Step 6: Final answer
    x = 9,030,955.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.