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Finding the Third Proportional to 511,029 and 1,074,978

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Solution

The third proportional to 511,029 and 1,074,978 is: 2,261,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,029 : 1,074,978 = 1,074,978 : x
  2. Step 2: Convert to fraction form
    511,029/1,074,978 = 1,074,978/x
  3. Step 3: Cross multiply
    511,029x = 1,074,978 × 1,074,978
  4. Step 4: Simplify right side
    511,029x = 1,155,577,700,484
  5. Step 5: Solve for x
    x = 1,155,577,700,484/511,029
  6. Step 6: Final answer
    x = 2,261,276.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.