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Finding the Third Proportional to 513,111 and 1,187,724

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Solution

The third proportional to 513,111 and 1,187,724 is: 2,749,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,111 : 1,187,724 = 1,187,724 : x
  2. Step 2: Convert to fraction form
    513,111/1,187,724 = 1,187,724/x
  3. Step 3: Cross multiply
    513,111x = 1,187,724 × 1,187,724
  4. Step 4: Simplify right side
    513,111x = 1,410,688,300,176
  5. Step 5: Solve for x
    x = 1,410,688,300,176/513,111
  6. Step 6: Final answer
    x = 2,749,284.85

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.