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Finding the Third Proportional to 471,918 and 1,022,550

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Solution

The third proportional to 471,918 and 1,022,550 is: 2,215,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,918 : 1,022,550 = 1,022,550 : x
  2. Step 2: Convert to fraction form
    471,918/1,022,550 = 1,022,550/x
  3. Step 3: Cross multiply
    471,918x = 1,022,550 × 1,022,550
  4. Step 4: Simplify right side
    471,918x = 1,045,608,502,500
  5. Step 5: Solve for x
    x = 1,045,608,502,500/471,918
  6. Step 6: Final answer
    x = 2,215,657.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.