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Finding the Third Proportional to 654,183 and 1,386,056

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Solution

The third proportional to 654,183 and 1,386,056 is: 2,936,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,183 : 1,386,056 = 1,386,056 : x
  2. Step 2: Convert to fraction form
    654,183/1,386,056 = 1,386,056/x
  3. Step 3: Cross multiply
    654,183x = 1,386,056 × 1,386,056
  4. Step 4: Simplify right side
    654,183x = 1,921,151,235,136
  5. Step 5: Solve for x
    x = 1,921,151,235,136/654,183
  6. Step 6: Final answer
    x = 2,936,718.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.