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Finding the Third Proportional to 531,146 and 1,150,890

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Solution

The third proportional to 531,146 and 1,150,890 is: 2,493,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,146 : 1,150,890 = 1,150,890 : x
  2. Step 2: Convert to fraction form
    531,146/1,150,890 = 1,150,890/x
  3. Step 3: Cross multiply
    531,146x = 1,150,890 × 1,150,890
  4. Step 4: Simplify right side
    531,146x = 1,324,547,792,100
  5. Step 5: Solve for x
    x = 1,324,547,792,100/531,146
  6. Step 6: Final answer
    x = 2,493,754.62

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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.