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Finding the Third Proportional to 537,891 and 1,170,416

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Solution

The third proportional to 537,891 and 1,170,416 is: 2,546,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,891 : 1,170,416 = 1,170,416 : x
  2. Step 2: Convert to fraction form
    537,891/1,170,416 = 1,170,416/x
  3. Step 3: Cross multiply
    537,891x = 1,170,416 × 1,170,416
  4. Step 4: Simplify right side
    537,891x = 1,369,873,613,056
  5. Step 5: Solve for x
    x = 1,369,873,613,056/537,891
  6. Step 6: Final answer
    x = 2,546,749.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.