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Finding the Third Proportional to 531,080 and 1,146,676

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Solution

The third proportional to 531,080 and 1,146,676 is: 2,475,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,080 : 1,146,676 = 1,146,676 : x
  2. Step 2: Convert to fraction form
    531,080/1,146,676 = 1,146,676/x
  3. Step 3: Cross multiply
    531,080x = 1,146,676 × 1,146,676
  4. Step 4: Simplify right side
    531,080x = 1,314,865,848,976
  5. Step 5: Solve for x
    x = 1,314,865,848,976/531,080
  6. Step 6: Final answer
    x = 2,475,833.86

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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.