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Finding the Third Proportional to 903,192 and 1,329,838

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Solution

The third proportional to 903,192 and 1,329,838 is: 1,958,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,192 : 1,329,838 = 1,329,838 : x
  2. Step 2: Convert to fraction form
    903,192/1,329,838 = 1,329,838/x
  3. Step 3: Cross multiply
    903,192x = 1,329,838 × 1,329,838
  4. Step 4: Simplify right side
    903,192x = 1,768,469,106,244
  5. Step 5: Solve for x
    x = 1,768,469,106,244/903,192
  6. Step 6: Final answer
    x = 1,958,021.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.