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Finding the Third Proportional to 1,197,536 and 2,581,696

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Solution

The third proportional to 1,197,536 and 2,581,696 is: 5,565,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,536 : 2,581,696 = 2,581,696 : x
  2. Step 2: Convert to fraction form
    1,197,536/2,581,696 = 2,581,696/x
  3. Step 3: Cross multiply
    1,197,536x = 2,581,696 × 2,581,696
  4. Step 4: Simplify right side
    1,197,536x = 6,665,154,236,416
  5. Step 5: Solve for x
    x = 6,665,154,236,416/1,197,536
  6. Step 6: Final answer
    x = 5,565,723.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.