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Finding the Third Proportional to 565,542 and 1,170,450

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Solution

The third proportional to 565,542 and 1,170,450 is: 2,422,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,542 : 1,170,450 = 1,170,450 : x
  2. Step 2: Convert to fraction form
    565,542/1,170,450 = 1,170,450/x
  3. Step 3: Cross multiply
    565,542x = 1,170,450 × 1,170,450
  4. Step 4: Simplify right side
    565,542x = 1,369,953,202,500
  5. Step 5: Solve for x
    x = 1,369,953,202,500/565,542
  6. Step 6: Final answer
    x = 2,422,372.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.