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Finding the Third Proportional to 828,604 and 1,279,538

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Solution

The third proportional to 828,604 and 1,279,538 is: 1,975,874.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,604 : 1,279,538 = 1,279,538 : x
  2. Step 2: Convert to fraction form
    828,604/1,279,538 = 1,279,538/x
  3. Step 3: Cross multiply
    828,604x = 1,279,538 × 1,279,538
  4. Step 4: Simplify right side
    828,604x = 1,637,217,493,444
  5. Step 5: Solve for x
    x = 1,637,217,493,444/828,604
  6. Step 6: Final answer
    x = 1,975,874.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.