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Finding the Third Proportional to 554,548 and 828,126

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Solution

The third proportional to 554,548 and 828,126 is: 1,236,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,548 : 828,126 = 828,126 : x
  2. Step 2: Convert to fraction form
    554,548/828,126 = 828,126/x
  3. Step 3: Cross multiply
    554,548x = 828,126 × 828,126
  4. Step 4: Simplify right side
    554,548x = 685,792,671,876
  5. Step 5: Solve for x
    x = 685,792,671,876/554,548
  6. Step 6: Final answer
    x = 1,236,669.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.