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Finding the Third Proportional to 547,083 and 879,006

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Solution

The third proportional to 547,083 and 879,006 is: 1,412,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,083 : 879,006 = 879,006 : x
  2. Step 2: Convert to fraction form
    547,083/879,006 = 879,006/x
  3. Step 3: Cross multiply
    547,083x = 879,006 × 879,006
  4. Step 4: Simplify right side
    547,083x = 772,651,548,036
  5. Step 5: Solve for x
    x = 772,651,548,036/547,083
  6. Step 6: Final answer
    x = 1,412,311.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.