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Finding the Third Proportional to 1,954,474.31 and 2,971,560.94

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Solution

The third proportional to 1,954,474.31 and 2,971,560.94 is: 4,517,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,474.31 : 2,971,560.94 = 2,971,560.94 : x
  2. Step 2: Convert to fraction form
    1,954,474.31/2,971,560.94 = 2,971,560.94/x
  3. Step 3: Cross multiply
    1,954,474.31x = 2,971,560.94 × 2,971,560.94
  4. Step 4: Simplify right side
    1,954,474.31x = 8,830,174,405,275.88
  5. Step 5: Solve for x
    x = 8,830,174,405,275.88/1,954,474.31
  6. Step 6: Final answer
    x = 4,517,928.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.