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Finding the Third Proportional to 957,493 and 1,456,134

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Solution

The third proportional to 957,493 and 1,456,134 is: 2,214,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,493 : 1,456,134 = 1,456,134 : x
  2. Step 2: Convert to fraction form
    957,493/1,456,134 = 1,456,134/x
  3. Step 3: Cross multiply
    957,493x = 1,456,134 × 1,456,134
  4. Step 4: Simplify right side
    957,493x = 2,120,326,225,956
  5. Step 5: Solve for x
    x = 2,120,326,225,956/957,493
  6. Step 6: Final answer
    x = 2,214,456.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.