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Finding the Third Proportional to 2,573,179 and 3,784,923

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Solution

The third proportional to 2,573,179 and 3,784,923 is: 5,567,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,179 : 3,784,923 = 3,784,923 : x
  2. Step 2: Convert to fraction form
    2,573,179/3,784,923 = 3,784,923/x
  3. Step 3: Cross multiply
    2,573,179x = 3,784,923 × 3,784,923
  4. Step 4: Simplify right side
    2,573,179x = 14,325,642,115,929
  5. Step 5: Solve for x
    x = 14,325,642,115,929/2,573,179
  6. Step 6: Final answer
    x = 5,567,293.26

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Why These Related Problems?

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