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Finding the Third Proportional to 809,654 and 1,776,768

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Solution

The third proportional to 809,654 and 1,776,768 is: 3,899,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,654 : 1,776,768 = 1,776,768 : x
  2. Step 2: Convert to fraction form
    809,654/1,776,768 = 1,776,768/x
  3. Step 3: Cross multiply
    809,654x = 1,776,768 × 1,776,768
  4. Step 4: Simplify right side
    809,654x = 3,156,904,525,824
  5. Step 5: Solve for x
    x = 3,156,904,525,824/809,654
  6. Step 6: Final answer
    x = 3,899,078.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.