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Finding the Third Proportional to 811,836 and 1,761,978

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Solution

The third proportional to 811,836 and 1,761,978 is: 3,824,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,836 : 1,761,978 = 1,761,978 : x
  2. Step 2: Convert to fraction form
    811,836/1,761,978 = 1,761,978/x
  3. Step 3: Cross multiply
    811,836x = 1,761,978 × 1,761,978
  4. Step 4: Simplify right side
    811,836x = 3,104,566,472,484
  5. Step 5: Solve for x
    x = 3,104,566,472,484/811,836
  6. Step 6: Final answer
    x = 3,824,130.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.