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Finding the Third Proportional to 906,194 and 1,439,643

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Solution

The third proportional to 906,194 and 1,439,643 is: 2,287,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,194 : 1,439,643 = 1,439,643 : x
  2. Step 2: Convert to fraction form
    906,194/1,439,643 = 1,439,643/x
  3. Step 3: Cross multiply
    906,194x = 1,439,643 × 1,439,643
  4. Step 4: Simplify right side
    906,194x = 2,072,571,967,449
  5. Step 5: Solve for x
    x = 2,072,571,967,449/906,194
  6. Step 6: Final answer
    x = 2,287,117.29

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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.