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Finding the Third Proportional to 866,378 and 1,299,567

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Solution

The third proportional to 866,378 and 1,299,567 is: 1,949,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,378 : 1,299,567 = 1,299,567 : x
  2. Step 2: Convert to fraction form
    866,378/1,299,567 = 1,299,567/x
  3. Step 3: Cross multiply
    866,378x = 1,299,567 × 1,299,567
  4. Step 4: Simplify right side
    866,378x = 1,688,874,387,489
  5. Step 5: Solve for x
    x = 1,688,874,387,489/866,378
  6. Step 6: Final answer
    x = 1,949,350.50

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Why These Related Problems?

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