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Finding the Third Proportional to 750,720 and 1,563,567

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Solution

The third proportional to 750,720 and 1,563,567 is: 3,256,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,720 : 1,563,567 = 1,563,567 : x
  2. Step 2: Convert to fraction form
    750,720/1,563,567 = 1,563,567/x
  3. Step 3: Cross multiply
    750,720x = 1,563,567 × 1,563,567
  4. Step 4: Simplify right side
    750,720x = 2,444,741,763,489
  5. Step 5: Solve for x
    x = 2,444,741,763,489/750,720
  6. Step 6: Final answer
    x = 3,256,529.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.