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Finding the Third Proportional to 2,716,304 and 5,756,400

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Solution

The third proportional to 2,716,304 and 5,756,400 is: 12,198,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,304 : 5,756,400 = 5,756,400 : x
  2. Step 2: Convert to fraction form
    2,716,304/5,756,400 = 5,756,400/x
  3. Step 3: Cross multiply
    2,716,304x = 5,756,400 × 5,756,400
  4. Step 4: Simplify right side
    2,716,304x = 33,136,140,960,000
  5. Step 5: Solve for x
    x = 33,136,140,960,000/2,716,304
  6. Step 6: Final answer
    x = 12,198,981.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.