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Finding the Third Proportional to 534,926 and 1,165,810

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Solution

The third proportional to 534,926 and 1,165,810 is: 2,540,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,926 : 1,165,810 = 1,165,810 : x
  2. Step 2: Convert to fraction form
    534,926/1,165,810 = 1,165,810/x
  3. Step 3: Cross multiply
    534,926x = 1,165,810 × 1,165,810
  4. Step 4: Simplify right side
    534,926x = 1,359,112,956,100
  5. Step 5: Solve for x
    x = 1,359,112,956,100/534,926
  6. Step 6: Final answer
    x = 2,540,749.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.