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Finding the Third Proportional to 486,536 and 1,068,976

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Solution

The third proportional to 486,536 and 1,068,976 is: 2,348,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,536 : 1,068,976 = 1,068,976 : x
  2. Step 2: Convert to fraction form
    486,536/1,068,976 = 1,068,976/x
  3. Step 3: Cross multiply
    486,536x = 1,068,976 × 1,068,976
  4. Step 4: Simplify right side
    486,536x = 1,142,709,688,576
  5. Step 5: Solve for x
    x = 1,142,709,688,576/486,536
  6. Step 6: Final answer
    x = 2,348,664.21

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.