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Finding the Third Proportional to 692,912 and 1,481,584

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Solution

The third proportional to 692,912 and 1,481,584 is: 3,167,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,912 : 1,481,584 = 1,481,584 : x
  2. Step 2: Convert to fraction form
    692,912/1,481,584 = 1,481,584/x
  3. Step 3: Cross multiply
    692,912x = 1,481,584 × 1,481,584
  4. Step 4: Simplify right side
    692,912x = 2,195,091,149,056
  5. Step 5: Solve for x
    x = 2,195,091,149,056/692,912
  6. Step 6: Final answer
    x = 3,167,921.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.