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Finding the Third Proportional to 866,304 and 1,299,456

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Solution

The third proportional to 866,304 and 1,299,456 is: 1,949,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,304 : 1,299,456 = 1,299,456 : x
  2. Step 2: Convert to fraction form
    866,304/1,299,456 = 1,299,456/x
  3. Step 3: Cross multiply
    866,304x = 1,299,456 × 1,299,456
  4. Step 4: Simplify right side
    866,304x = 1,688,585,895,936
  5. Step 5: Solve for x
    x = 1,688,585,895,936/866,304
  6. Step 6: Final answer
    x = 1,949,184

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.