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Finding the Third Proportional to 746,711 and 1,638,573

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Solution

The third proportional to 746,711 and 1,638,573 is: 3,595,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,711 : 1,638,573 = 1,638,573 : x
  2. Step 2: Convert to fraction form
    746,711/1,638,573 = 1,638,573/x
  3. Step 3: Cross multiply
    746,711x = 1,638,573 × 1,638,573
  4. Step 4: Simplify right side
    746,711x = 2,684,921,476,329
  5. Step 5: Solve for x
    x = 2,684,921,476,329/746,711
  6. Step 6: Final answer
    x = 3,595,663.48

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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.