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Finding the Third Proportional to 997,067 and 2,174,584

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Solution

The third proportional to 997,067 and 2,174,584 is: 4,742,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,067 : 2,174,584 = 2,174,584 : x
  2. Step 2: Convert to fraction form
    997,067/2,174,584 = 2,174,584/x
  3. Step 3: Cross multiply
    997,067x = 2,174,584 × 2,174,584
  4. Step 4: Simplify right side
    997,067x = 4,728,815,573,056
  5. Step 5: Solve for x
    x = 4,728,815,573,056/997,067
  6. Step 6: Final answer
    x = 4,742,725.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.