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Finding the Third Proportional to 569,798 and 1,215,868

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Solution

The third proportional to 569,798 and 1,215,868 is: 2,594,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,798 : 1,215,868 = 1,215,868 : x
  2. Step 2: Convert to fraction form
    569,798/1,215,868 = 1,215,868/x
  3. Step 3: Cross multiply
    569,798x = 1,215,868 × 1,215,868
  4. Step 4: Simplify right side
    569,798x = 1,478,334,993,424
  5. Step 5: Solve for x
    x = 1,478,334,993,424/569,798
  6. Step 6: Final answer
    x = 2,594,489.61

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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.