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Finding the Third Proportional to 384,616 and 841,616

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Solution

The third proportional to 384,616 and 841,616 is: 1,841,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,616 : 841,616 = 841,616 : x
  2. Step 2: Convert to fraction form
    384,616/841,616 = 841,616/x
  3. Step 3: Cross multiply
    384,616x = 841,616 × 841,616
  4. Step 4: Simplify right side
    384,616x = 708,317,491,456
  5. Step 5: Solve for x
    x = 708,317,491,456/384,616
  6. Step 6: Final answer
    x = 1,841,622.53

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Why These Related Problems?

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