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Finding the Third Proportional to 545,403 and 1,171,765

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Solution

The third proportional to 545,403 and 1,171,765 is: 2,517,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,403 : 1,171,765 = 1,171,765 : x
  2. Step 2: Convert to fraction form
    545,403/1,171,765 = 1,171,765/x
  3. Step 3: Cross multiply
    545,403x = 1,171,765 × 1,171,765
  4. Step 4: Simplify right side
    545,403x = 1,373,033,215,225
  5. Step 5: Solve for x
    x = 1,373,033,215,225/545,403
  6. Step 6: Final answer
    x = 2,517,465.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.