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Finding the Third Proportional to 519,672 and 1,173,765

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Solution

The third proportional to 519,672 and 1,173,765 is: 2,651,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,672 : 1,173,765 = 1,173,765 : x
  2. Step 2: Convert to fraction form
    519,672/1,173,765 = 1,173,765/x
  3. Step 3: Cross multiply
    519,672x = 1,173,765 × 1,173,765
  4. Step 4: Simplify right side
    519,672x = 1,377,724,275,225
  5. Step 5: Solve for x
    x = 1,377,724,275,225/519,672
  6. Step 6: Final answer
    x = 2,651,142.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.