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Finding the Third Proportional to 2,573,141.75 and 3,784,868.63

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Solution

The third proportional to 2,573,141.75 and 3,784,868.63 is: 5,567,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,141.75 : 3,784,868.63 = 3,784,868.63 : x
  2. Step 2: Convert to fraction form
    2,573,141.75/3,784,868.63 = 3,784,868.63/x
  3. Step 3: Cross multiply
    2,573,141.75x = 3,784,868.63 × 3,784,868.63
  4. Step 4: Simplify right side
    2,573,141.75x = 14,325,230,508,509.39
  5. Step 5: Solve for x
    x = 14,325,230,508,509.39/2,573,141.75
  6. Step 6: Final answer
    x = 5,567,213.90

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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.