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Finding the Third Proportional to 835,406 and 1,345,126

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Solution

The third proportional to 835,406 and 1,345,126 is: 2,165,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,406 : 1,345,126 = 1,345,126 : x
  2. Step 2: Convert to fraction form
    835,406/1,345,126 = 1,345,126/x
  3. Step 3: Cross multiply
    835,406x = 1,345,126 × 1,345,126
  4. Step 4: Simplify right side
    835,406x = 1,809,363,955,876
  5. Step 5: Solve for x
    x = 1,809,363,955,876/835,406
  6. Step 6: Final answer
    x = 2,165,849.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.