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Finding the Third Proportional to 1,491,932 and 3,219,736

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Solution

The third proportional to 1,491,932 and 3,219,736 is: 6,948,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,932 : 3,219,736 = 3,219,736 : x
  2. Step 2: Convert to fraction form
    1,491,932/3,219,736 = 3,219,736/x
  3. Step 3: Cross multiply
    1,491,932x = 3,219,736 × 3,219,736
  4. Step 4: Simplify right side
    1,491,932x = 10,366,699,909,696
  5. Step 5: Solve for x
    x = 10,366,699,909,696/1,491,932
  6. Step 6: Final answer
    x = 6,948,506.98

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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.