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Finding the Third Proportional to 746,834 and 1,638,796

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Solution

The third proportional to 746,834 and 1,638,796 is: 3,596,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,834 : 1,638,796 = 1,638,796 : x
  2. Step 2: Convert to fraction form
    746,834/1,638,796 = 1,638,796/x
  3. Step 3: Cross multiply
    746,834x = 1,638,796 × 1,638,796
  4. Step 4: Simplify right side
    746,834x = 2,685,652,329,616
  5. Step 5: Solve for x
    x = 2,685,652,329,616/746,834
  6. Step 6: Final answer
    x = 3,596,049.90

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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.