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Finding the Third Proportional to 467,577 and 1,022,628

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Solution

The third proportional to 467,577 and 1,022,628 is: 2,236,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,577 : 1,022,628 = 1,022,628 : x
  2. Step 2: Convert to fraction form
    467,577/1,022,628 = 1,022,628/x
  3. Step 3: Cross multiply
    467,577x = 1,022,628 × 1,022,628
  4. Step 4: Simplify right side
    467,577x = 1,045,768,026,384
  5. Step 5: Solve for x
    x = 1,045,768,026,384/467,577
  6. Step 6: Final answer
    x = 2,236,568.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.