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Finding the Third Proportional to 533,688 and 1,275,657

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Solution

The third proportional to 533,688 and 1,275,657 is: 3,049,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,688 : 1,275,657 = 1,275,657 : x
  2. Step 2: Convert to fraction form
    533,688/1,275,657 = 1,275,657/x
  3. Step 3: Cross multiply
    533,688x = 1,275,657 × 1,275,657
  4. Step 4: Simplify right side
    533,688x = 1,627,300,781,649
  5. Step 5: Solve for x
    x = 1,627,300,781,649/533,688
  6. Step 6: Final answer
    x = 3,049,161.27

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.