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Finding the Third Proportional to 816,287 and 1,765,546

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Solution

The third proportional to 816,287 and 1,765,546 is: 3,818,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,287 : 1,765,546 = 1,765,546 : x
  2. Step 2: Convert to fraction form
    816,287/1,765,546 = 1,765,546/x
  3. Step 3: Cross multiply
    816,287x = 1,765,546 × 1,765,546
  4. Step 4: Simplify right side
    816,287x = 3,117,152,678,116
  5. Step 5: Solve for x
    x = 3,117,152,678,116/816,287
  6. Step 6: Final answer
    x = 3,818,696.95

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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.