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Finding the Third Proportional to 412,543.13 and 913,659.75

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Solution

The third proportional to 412,543.13 and 913,659.75 is: 2,023,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,543.13 : 913,659.75 = 913,659.75 : x
  2. Step 2: Convert to fraction form
    412,543.13/913,659.75 = 913,659.75/x
  3. Step 3: Cross multiply
    412,543.13x = 913,659.75 × 913,659.75
  4. Step 4: Simplify right side
    412,543.13x = 834,774,138,770.06
  5. Step 5: Solve for x
    x = 834,774,138,770.06/412,543.13
  6. Step 6: Final answer
    x = 2,023,483.34

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.