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Finding the Third Proportional to 533,008 and 1,165,661

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Solution

The third proportional to 533,008 and 1,165,661 is: 2,549,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,008 : 1,165,661 = 1,165,661 : x
  2. Step 2: Convert to fraction form
    533,008/1,165,661 = 1,165,661/x
  3. Step 3: Cross multiply
    533,008x = 1,165,661 × 1,165,661
  4. Step 4: Simplify right side
    533,008x = 1,358,765,566,921
  5. Step 5: Solve for x
    x = 1,358,765,566,921/533,008
  6. Step 6: Final answer
    x = 2,549,240.47

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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.