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Finding the Third Proportional to 882,634 and 1,905,204

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Solution

The third proportional to 882,634 and 1,905,204 is: 4,112,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,634 : 1,905,204 = 1,905,204 : x
  2. Step 2: Convert to fraction form
    882,634/1,905,204 = 1,905,204/x
  3. Step 3: Cross multiply
    882,634x = 1,905,204 × 1,905,204
  4. Step 4: Simplify right side
    882,634x = 3,629,802,281,616
  5. Step 5: Solve for x
    x = 3,629,802,281,616/882,634
  6. Step 6: Final answer
    x = 4,112,465.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.