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Finding the Third Proportional to 434,889 and 882,006

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Solution

The third proportional to 434,889 and 882,006 is: 1,788,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,889 : 882,006 = 882,006 : x
  2. Step 2: Convert to fraction form
    434,889/882,006 = 882,006/x
  3. Step 3: Cross multiply
    434,889x = 882,006 × 882,006
  4. Step 4: Simplify right side
    434,889x = 777,934,584,036
  5. Step 5: Solve for x
    x = 777,934,584,036/434,889
  6. Step 6: Final answer
    x = 1,788,811.82

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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.