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Finding the Third Proportional to 776,804 and 1,172,326

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Solution

The third proportional to 776,804 and 1,172,326 is: 1,769,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,804 : 1,172,326 = 1,172,326 : x
  2. Step 2: Convert to fraction form
    776,804/1,172,326 = 1,172,326/x
  3. Step 3: Cross multiply
    776,804x = 1,172,326 × 1,172,326
  4. Step 4: Simplify right side
    776,804x = 1,374,348,250,276
  5. Step 5: Solve for x
    x = 1,374,348,250,276/776,804
  6. Step 6: Final answer
    x = 1,769,234.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.