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Finding the Third Proportional to 677,759.63 and 1,467,100.13

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Solution

The third proportional to 677,759.63 and 1,467,100.13 is: 3,175,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,759.63 : 1,467,100.13 = 1,467,100.13 : x
  2. Step 2: Convert to fraction form
    677,759.63/1,467,100.13 = 1,467,100.13/x
  3. Step 3: Cross multiply
    677,759.63x = 1,467,100.13 × 1,467,100.13
  4. Step 4: Simplify right side
    677,759.63x = 2,152,382,776,775.02
  5. Step 5: Solve for x
    x = 2,152,382,776,775.02/677,759.63
  6. Step 6: Final answer
    x = 3,175,731.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.