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Finding the Third Proportional to 662,185 and 1,429,285

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Solution

The third proportional to 662,185 and 1,429,285 is: 3,085,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,185 : 1,429,285 = 1,429,285 : x
  2. Step 2: Convert to fraction form
    662,185/1,429,285 = 1,429,285/x
  3. Step 3: Cross multiply
    662,185x = 1,429,285 × 1,429,285
  4. Step 4: Simplify right side
    662,185x = 2,042,855,611,225
  5. Step 5: Solve for x
    x = 2,042,855,611,225/662,185
  6. Step 6: Final answer
    x = 3,085,022.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.