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Finding the Third Proportional to 533,006 and 1,165,657

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Solution

The third proportional to 533,006 and 1,165,657 is: 2,549,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,006 : 1,165,657 = 1,165,657 : x
  2. Step 2: Convert to fraction form
    533,006/1,165,657 = 1,165,657/x
  3. Step 3: Cross multiply
    533,006x = 1,165,657 × 1,165,657
  4. Step 4: Simplify right side
    533,006x = 1,358,756,241,649
  5. Step 5: Solve for x
    x = 1,358,756,241,649/533,006
  6. Step 6: Final answer
    x = 2,549,232.54

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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.