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Finding the Third Proportional to 682,152 and 954,180

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Solution

The third proportional to 682,152 and 954,180 is: 1,334,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,152 : 954,180 = 954,180 : x
  2. Step 2: Convert to fraction form
    682,152/954,180 = 954,180/x
  3. Step 3: Cross multiply
    682,152x = 954,180 × 954,180
  4. Step 4: Simplify right side
    682,152x = 910,459,472,400
  5. Step 5: Solve for x
    x = 910,459,472,400/682,152
  6. Step 6: Final answer
    x = 1,334,687.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.