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Finding the Third Proportional to 544,176 and 1,177,002

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Solution

The third proportional to 544,176 and 1,177,002 is: 2,545,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,176 : 1,177,002 = 1,177,002 : x
  2. Step 2: Convert to fraction form
    544,176/1,177,002 = 1,177,002/x
  3. Step 3: Cross multiply
    544,176x = 1,177,002 × 1,177,002
  4. Step 4: Simplify right side
    544,176x = 1,385,333,708,004
  5. Step 5: Solve for x
    x = 1,385,333,708,004/544,176
  6. Step 6: Final answer
    x = 2,545,745.69

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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.