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Finding the Third Proportional to 514,391 and 1,126,856

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Solution

The third proportional to 514,391 and 1,126,856 is: 2,468,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,391 : 1,126,856 = 1,126,856 : x
  2. Step 2: Convert to fraction form
    514,391/1,126,856 = 1,126,856/x
  3. Step 3: Cross multiply
    514,391x = 1,126,856 × 1,126,856
  4. Step 4: Simplify right side
    514,391x = 1,269,804,444,736
  5. Step 5: Solve for x
    x = 1,269,804,444,736/514,391
  6. Step 6: Final answer
    x = 2,468,558.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.