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Finding the Third Proportional to 786,692 and 1,725,016

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Solution

The third proportional to 786,692 and 1,725,016 is: 3,782,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,692 : 1,725,016 = 1,725,016 : x
  2. Step 2: Convert to fraction form
    786,692/1,725,016 = 1,725,016/x
  3. Step 3: Cross multiply
    786,692x = 1,725,016 × 1,725,016
  4. Step 4: Simplify right side
    786,692x = 2,975,680,200,256
  5. Step 5: Solve for x
    x = 2,975,680,200,256/786,692
  6. Step 6: Final answer
    x = 3,782,522.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.