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Finding the Third Proportional to 951,030 and 1,410,831

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Solution

The third proportional to 951,030 and 1,410,831 is: 2,092,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,030 : 1,410,831 = 1,410,831 : x
  2. Step 2: Convert to fraction form
    951,030/1,410,831 = 1,410,831/x
  3. Step 3: Cross multiply
    951,030x = 1,410,831 × 1,410,831
  4. Step 4: Simplify right side
    951,030x = 1,990,444,110,561
  5. Step 5: Solve for x
    x = 1,990,444,110,561/951,030
  6. Step 6: Final answer
    x = 2,092,935.14

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.