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Finding the Third Proportional to 682,526 and 1,469,710

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Solution

The third proportional to 682,526 and 1,469,710 is: 3,164,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,526 : 1,469,710 = 1,469,710 : x
  2. Step 2: Convert to fraction form
    682,526/1,469,710 = 1,469,710/x
  3. Step 3: Cross multiply
    682,526x = 1,469,710 × 1,469,710
  4. Step 4: Simplify right side
    682,526x = 2,160,047,484,100
  5. Step 5: Solve for x
    x = 2,160,047,484,100/682,526
  6. Step 6: Final answer
    x = 3,164,784.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.