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Finding the Third Proportional to 816,984 and 1,765,152

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Solution

The third proportional to 816,984 and 1,765,152 is: 3,813,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,984 : 1,765,152 = 1,765,152 : x
  2. Step 2: Convert to fraction form
    816,984/1,765,152 = 1,765,152/x
  3. Step 3: Cross multiply
    816,984x = 1,765,152 × 1,765,152
  4. Step 4: Simplify right side
    816,984x = 3,115,761,583,104
  5. Step 5: Solve for x
    x = 3,115,761,583,104/816,984
  6. Step 6: Final answer
    x = 3,813,736.36

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