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Finding the Third Proportional to 682,120 and 1,434,944

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Solution

The third proportional to 682,120 and 1,434,944 is: 3,018,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,120 : 1,434,944 = 1,434,944 : x
  2. Step 2: Convert to fraction form
    682,120/1,434,944 = 1,434,944/x
  3. Step 3: Cross multiply
    682,120x = 1,434,944 × 1,434,944
  4. Step 4: Simplify right side
    682,120x = 2,059,064,283,136
  5. Step 5: Solve for x
    x = 2,059,064,283,136/682,120
  6. Step 6: Final answer
    x = 3,018,624.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.