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Finding the Third Proportional to 434,900 and 882,028

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Solution

The third proportional to 434,900 and 882,028 is: 1,788,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,900 : 882,028 = 882,028 : x
  2. Step 2: Convert to fraction form
    434,900/882,028 = 882,028/x
  3. Step 3: Cross multiply
    434,900x = 882,028 × 882,028
  4. Step 4: Simplify right side
    434,900x = 777,973,392,784
  5. Step 5: Solve for x
    x = 777,973,392,784/434,900
  6. Step 6: Final answer
    x = 1,788,855.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.