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Finding the Third Proportional to 569,796 and 1,215,863

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Solution

The third proportional to 569,796 and 1,215,863 is: 2,594,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,796 : 1,215,863 = 1,215,863 : x
  2. Step 2: Convert to fraction form
    569,796/1,215,863 = 1,215,863/x
  3. Step 3: Cross multiply
    569,796x = 1,215,863 × 1,215,863
  4. Step 4: Simplify right side
    569,796x = 1,478,322,834,769
  5. Step 5: Solve for x
    x = 1,478,322,834,769/569,796
  6. Step 6: Final answer
    x = 2,594,477.38

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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.