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Finding the Third Proportional to 1,976,097 and 4,251,786

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Solution

The third proportional to 1,976,097 and 4,251,786 is: 9,148,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,097 : 4,251,786 = 4,251,786 : x
  2. Step 2: Convert to fraction form
    1,976,097/4,251,786 = 4,251,786/x
  3. Step 3: Cross multiply
    1,976,097x = 4,251,786 × 4,251,786
  4. Step 4: Simplify right side
    1,976,097x = 18,077,684,189,796
  5. Step 5: Solve for x
    x = 18,077,684,189,796/1,976,097
  6. Step 6: Final answer
    x = 9,148,176.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.