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Finding the Third Proportional to 869,751 and 1,383,684

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Solution

The third proportional to 869,751 and 1,383,684 is: 2,201,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,751 : 1,383,684 = 1,383,684 : x
  2. Step 2: Convert to fraction form
    869,751/1,383,684 = 1,383,684/x
  3. Step 3: Cross multiply
    869,751x = 1,383,684 × 1,383,684
  4. Step 4: Simplify right side
    869,751x = 1,914,581,411,856
  5. Step 5: Solve for x
    x = 1,914,581,411,856/869,751
  6. Step 6: Final answer
    x = 2,201,298.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.