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Finding the Third Proportional to 618,167 and 1,302,754

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Solution

The third proportional to 618,167 and 1,302,754 is: 2,745,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,167 : 1,302,754 = 1,302,754 : x
  2. Step 2: Convert to fraction form
    618,167/1,302,754 = 1,302,754/x
  3. Step 3: Cross multiply
    618,167x = 1,302,754 × 1,302,754
  4. Step 4: Simplify right side
    618,167x = 1,697,167,984,516
  5. Step 5: Solve for x
    x = 1,697,167,984,516/618,167
  6. Step 6: Final answer
    x = 2,745,484.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.