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Finding the Third Proportional to 911,271 and 2,109,612

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Solution

The third proportional to 911,271 and 2,109,612 is: 4,883,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,271 : 2,109,612 = 2,109,612 : x
  2. Step 2: Convert to fraction form
    911,271/2,109,612 = 2,109,612/x
  3. Step 3: Cross multiply
    911,271x = 2,109,612 × 2,109,612
  4. Step 4: Simplify right side
    911,271x = 4,450,462,790,544
  5. Step 5: Solve for x
    x = 4,450,462,790,544/911,271
  6. Step 6: Final answer
    x = 4,883,797.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.