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Finding the Third Proportional to 784,512 and 1,175,715

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Solution

The third proportional to 784,512 and 1,175,715 is: 1,761,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,512 : 1,175,715 = 1,175,715 : x
  2. Step 2: Convert to fraction form
    784,512/1,175,715 = 1,175,715/x
  3. Step 3: Cross multiply
    784,512x = 1,175,715 × 1,175,715
  4. Step 4: Simplify right side
    784,512x = 1,382,305,761,225
  5. Step 5: Solve for x
    x = 1,382,305,761,225/784,512
  6. Step 6: Final answer
    x = 1,761,994.41

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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.