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Finding the Third Proportional to 1,616,542.31 and 2,694,122.02

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Solution

The third proportional to 1,616,542.31 and 2,694,122.02 is: 4,490,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,542.31 : 2,694,122.02 = 2,694,122.02 : x
  2. Step 2: Convert to fraction form
    1,616,542.31/2,694,122.02 = 2,694,122.02/x
  3. Step 3: Cross multiply
    1,616,542.31x = 2,694,122.02 × 2,694,122.02
  4. Step 4: Simplify right side
    1,616,542.31x = 7,258,293,435,075.31
  5. Step 5: Solve for x
    x = 7,258,293,435,075.31/1,616,542.31
  6. Step 6: Final answer
    x = 4,490,011.41

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.