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Finding the Third Proportional to 692,846 and 1,488,832

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Solution

The third proportional to 692,846 and 1,488,832 is: 3,199,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,846 : 1,488,832 = 1,488,832 : x
  2. Step 2: Convert to fraction form
    692,846/1,488,832 = 1,488,832/x
  3. Step 3: Cross multiply
    692,846x = 1,488,832 × 1,488,832
  4. Step 4: Simplify right side
    692,846x = 2,216,620,724,224
  5. Step 5: Solve for x
    x = 2,216,620,724,224/692,846
  6. Step 6: Final answer
    x = 3,199,297.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.