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Finding the Third Proportional to 826,516 and 1,276,622

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Solution

The third proportional to 826,516 and 1,276,622 is: 1,971,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,516 : 1,276,622 = 1,276,622 : x
  2. Step 2: Convert to fraction form
    826,516/1,276,622 = 1,276,622/x
  3. Step 3: Cross multiply
    826,516x = 1,276,622 × 1,276,622
  4. Step 4: Simplify right side
    826,516x = 1,629,763,730,884
  5. Step 5: Solve for x
    x = 1,629,763,730,884/826,516
  6. Step 6: Final answer
    x = 1,971,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.