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Finding the Third Proportional to 1,196,904 and 2,597,259

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Solution

The third proportional to 1,196,904 and 2,597,259 is: 5,636,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,904 : 2,597,259 = 2,597,259 : x
  2. Step 2: Convert to fraction form
    1,196,904/2,597,259 = 2,597,259/x
  3. Step 3: Cross multiply
    1,196,904x = 2,597,259 × 2,597,259
  4. Step 4: Simplify right side
    1,196,904x = 6,745,754,313,081
  5. Step 5: Solve for x
    x = 6,745,754,313,081/1,196,904
  6. Step 6: Final answer
    x = 5,636,002.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.