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Finding the Third Proportional to 569,790 and 1,215,852

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Solution

The third proportional to 569,790 and 1,215,852 is: 2,594,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,790 : 1,215,852 = 1,215,852 : x
  2. Step 2: Convert to fraction form
    569,790/1,215,852 = 1,215,852/x
  3. Step 3: Cross multiply
    569,790x = 1,215,852 × 1,215,852
  4. Step 4: Simplify right side
    569,790x = 1,478,296,085,904
  5. Step 5: Solve for x
    x = 1,478,296,085,904/569,790
  6. Step 6: Final answer
    x = 2,594,457.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.