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Finding the Third Proportional to 1,397,888 and 3,286,056

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Solution

The third proportional to 1,397,888 and 3,286,056 is: 7,724,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,888 : 3,286,056 = 3,286,056 : x
  2. Step 2: Convert to fraction form
    1,397,888/3,286,056 = 3,286,056/x
  3. Step 3: Cross multiply
    1,397,888x = 3,286,056 × 3,286,056
  4. Step 4: Simplify right side
    1,397,888x = 10,798,164,035,136
  5. Step 5: Solve for x
    x = 10,798,164,035,136/1,397,888
  6. Step 6: Final answer
    x = 7,724,627.46

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.