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Finding the Third Proportional to 2,573,141.50 and 3,784,868.25

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Solution

The third proportional to 2,573,141.50 and 3,784,868.25 is: 5,567,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,141.50 : 3,784,868.25 = 3,784,868.25 : x
  2. Step 2: Convert to fraction form
    2,573,141.50/3,784,868.25 = 3,784,868.25/x
  3. Step 3: Cross multiply
    2,573,141.50x = 3,784,868.25 × 3,784,868.25
  4. Step 4: Simplify right side
    2,573,141.50x = 14,325,227,669,858.06
  5. Step 5: Solve for x
    x = 14,325,227,669,858.06/2,573,141.50
  6. Step 6: Final answer
    x = 5,567,213.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.