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Finding the Third Proportional to 961,095 and 2,114,041

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Solution

The third proportional to 961,095 and 2,114,041 is: 4,650,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,095 : 2,114,041 = 2,114,041 : x
  2. Step 2: Convert to fraction form
    961,095/2,114,041 = 2,114,041/x
  3. Step 3: Cross multiply
    961,095x = 2,114,041 × 2,114,041
  4. Step 4: Simplify right side
    961,095x = 4,469,169,349,681
  5. Step 5: Solve for x
    x = 4,469,169,349,681/961,095
  6. Step 6: Final answer
    x = 4,650,080.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.