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Finding the Third Proportional to 423,828 and 882,144

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Solution

The third proportional to 423,828 and 882,144 is: 1,836,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,828 : 882,144 = 882,144 : x
  2. Step 2: Convert to fraction form
    423,828/882,144 = 882,144/x
  3. Step 3: Cross multiply
    423,828x = 882,144 × 882,144
  4. Step 4: Simplify right side
    423,828x = 778,178,036,736
  5. Step 5: Solve for x
    x = 778,178,036,736/423,828
  6. Step 6: Final answer
    x = 1,836,070.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.