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Finding the Third Proportional to 544,079 and 828,156

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Solution

The third proportional to 544,079 and 828,156 is: 1,260,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,079 : 828,156 = 828,156 : x
  2. Step 2: Convert to fraction form
    544,079/828,156 = 828,156/x
  3. Step 3: Cross multiply
    544,079x = 828,156 × 828,156
  4. Step 4: Simplify right side
    544,079x = 685,842,360,336
  5. Step 5: Solve for x
    x = 685,842,360,336/544,079
  6. Step 6: Final answer
    x = 1,260,556.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.