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Finding the Third Proportional to 524,611.69 and 1,144,054.13

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Solution

The third proportional to 524,611.69 and 1,144,054.13 is: 2,494,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,611.69 : 1,144,054.13 = 1,144,054.13 : x
  2. Step 2: Convert to fraction form
    524,611.69/1,144,054.13 = 1,144,054.13/x
  3. Step 3: Cross multiply
    524,611.69x = 1,144,054.13 × 1,144,054.13
  4. Step 4: Simplify right side
    524,611.69x = 1,308,859,840,929.52
  5. Step 5: Solve for x
    x = 1,308,859,840,929.52/524,611.69
  6. Step 6: Final answer
    x = 2,494,911.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.