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Finding the Third Proportional to 643,328 and 1,372,152

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Solution

The third proportional to 643,328 and 1,372,152 is: 2,926,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,328 : 1,372,152 = 1,372,152 : x
  2. Step 2: Convert to fraction form
    643,328/1,372,152 = 1,372,152/x
  3. Step 3: Cross multiply
    643,328x = 1,372,152 × 1,372,152
  4. Step 4: Simplify right side
    643,328x = 1,882,801,111,104
  5. Step 5: Solve for x
    x = 1,882,801,111,104/643,328
  6. Step 6: Final answer
    x = 2,926,658.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.