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Finding the Third Proportional to 2,840,989.50 and 6,213,423

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Solution

The third proportional to 2,840,989.50 and 6,213,423 is: 13,589,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,989.50 : 6,213,423 = 6,213,423 : x
  2. Step 2: Convert to fraction form
    2,840,989.50/6,213,423 = 6,213,423/x
  3. Step 3: Cross multiply
    2,840,989.50x = 6,213,423 × 6,213,423
  4. Step 4: Simplify right side
    2,840,989.50x = 38,606,625,376,929
  5. Step 5: Solve for x
    x = 38,606,625,376,929/2,840,989.50
  6. Step 6: Final answer
    x = 13,589,147.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.