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Finding the Third Proportional to 1,233,200 and 2,702,056

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Solution

The third proportional to 1,233,200 and 2,702,056 is: 5,920,456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,200 : 2,702,056 = 2,702,056 : x
  2. Step 2: Convert to fraction form
    1,233,200/2,702,056 = 2,702,056/x
  3. Step 3: Cross multiply
    1,233,200x = 2,702,056 × 2,702,056
  4. Step 4: Simplify right side
    1,233,200x = 7,301,106,627,136
  5. Step 5: Solve for x
    x = 7,301,106,627,136/1,233,200
  6. Step 6: Final answer
    x = 5,920,456.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.