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Finding the Third Proportional to 533,007 and 1,165,659

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Solution

The third proportional to 533,007 and 1,165,659 is: 2,549,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,007 : 1,165,659 = 1,165,659 : x
  2. Step 2: Convert to fraction form
    533,007/1,165,659 = 1,165,659/x
  3. Step 3: Cross multiply
    533,007x = 1,165,659 × 1,165,659
  4. Step 4: Simplify right side
    533,007x = 1,358,760,904,281
  5. Step 5: Solve for x
    x = 1,358,760,904,281/533,007
  6. Step 6: Final answer
    x = 2,549,236.51

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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.