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Finding the Third Proportional to 866,125 and 1,889,642

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Solution

The third proportional to 866,125 and 1,889,642 is: 4,122,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,125 : 1,889,642 = 1,889,642 : x
  2. Step 2: Convert to fraction form
    866,125/1,889,642 = 1,889,642/x
  3. Step 3: Cross multiply
    866,125x = 1,889,642 × 1,889,642
  4. Step 4: Simplify right side
    866,125x = 3,570,746,888,164
  5. Step 5: Solve for x
    x = 3,570,746,888,164/866,125
  6. Step 6: Final answer
    x = 4,122,669.23

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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.