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Finding the Third Proportional to 789,106 and 1,725,831

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Solution

The third proportional to 789,106 and 1,725,831 is: 3,774,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,106 : 1,725,831 = 1,725,831 : x
  2. Step 2: Convert to fraction form
    789,106/1,725,831 = 1,725,831/x
  3. Step 3: Cross multiply
    789,106x = 1,725,831 × 1,725,831
  4. Step 4: Simplify right side
    789,106x = 2,978,492,640,561
  5. Step 5: Solve for x
    x = 2,978,492,640,561/789,106
  6. Step 6: Final answer
    x = 3,774,515.26

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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.