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Finding the Third Proportional to 1,211,538.94 and 2,643,114.38

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Solution

The third proportional to 1,211,538.94 and 2,643,114.38 is: 5,766,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,538.94 : 2,643,114.38 = 2,643,114.38 : x
  2. Step 2: Convert to fraction form
    1,211,538.94/2,643,114.38 = 2,643,114.38/x
  3. Step 3: Cross multiply
    1,211,538.94x = 2,643,114.38 × 2,643,114.38
  4. Step 4: Simplify right side
    1,211,538.94x = 6,986,053,599,331.64
  5. Step 5: Solve for x
    x = 6,986,053,599,331.64/1,211,538.94
  6. Step 6: Final answer
    x = 5,766,264.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.