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Finding the Third Proportional to 434,898 and 882,024

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Solution

The third proportional to 434,898 and 882,024 is: 1,788,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,898 : 882,024 = 882,024 : x
  2. Step 2: Convert to fraction form
    434,898/882,024 = 882,024/x
  3. Step 3: Cross multiply
    434,898x = 882,024 × 882,024
  4. Step 4: Simplify right side
    434,898x = 777,966,336,576
  5. Step 5: Solve for x
    x = 777,966,336,576/434,898
  6. Step 6: Final answer
    x = 1,788,847.81

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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.