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Finding the Third Proportional to 420,616 and 925,342

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Solution

The third proportional to 420,616 and 925,342 is: 2,035,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,616 : 925,342 = 925,342 : x
  2. Step 2: Convert to fraction form
    420,616/925,342 = 925,342/x
  3. Step 3: Cross multiply
    420,616x = 925,342 × 925,342
  4. Step 4: Simplify right side
    420,616x = 856,257,816,964
  5. Step 5: Solve for x
    x = 856,257,816,964/420,616
  6. Step 6: Final answer
    x = 2,035,723.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.