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Finding the Third Proportional to 906,170 and 1,439,607

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Solution

The third proportional to 906,170 and 1,439,607 is: 2,287,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,170 : 1,439,607 = 1,439,607 : x
  2. Step 2: Convert to fraction form
    906,170/1,439,607 = 1,439,607/x
  3. Step 3: Cross multiply
    906,170x = 1,439,607 × 1,439,607
  4. Step 4: Simplify right side
    906,170x = 2,072,468,314,449
  5. Step 5: Solve for x
    x = 2,072,468,314,449/906,170
  6. Step 6: Final answer
    x = 2,287,063.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.