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Finding the Third Proportional to 587,416 and 1,271,059

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Solution

The third proportional to 587,416 and 1,271,059 is: 2,750,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,416 : 1,271,059 = 1,271,059 : x
  2. Step 2: Convert to fraction form
    587,416/1,271,059 = 1,271,059/x
  3. Step 3: Cross multiply
    587,416x = 1,271,059 × 1,271,059
  4. Step 4: Simplify right side
    587,416x = 1,615,590,981,481
  5. Step 5: Solve for x
    x = 1,615,590,981,481/587,416
  6. Step 6: Final answer
    x = 2,750,335.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.