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Finding the Third Proportional to 682,510 and 1,468,052

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Solution

The third proportional to 682,510 and 1,468,052 is: 3,157,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,510 : 1,468,052 = 1,468,052 : x
  2. Step 2: Convert to fraction form
    682,510/1,468,052 = 1,468,052/x
  3. Step 3: Cross multiply
    682,510x = 1,468,052 × 1,468,052
  4. Step 4: Simplify right side
    682,510x = 2,155,176,674,704
  5. Step 5: Solve for x
    x = 2,155,176,674,704/682,510
  6. Step 6: Final answer
    x = 3,157,721.75

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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.