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Finding the Third Proportional to 1,839,298.50 and 4,296,063.38

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Solution

The third proportional to 1,839,298.50 and 4,296,063.38 is: 10,034,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,298.50 : 4,296,063.38 = 4,296,063.38 : x
  2. Step 2: Convert to fraction form
    1,839,298.50/4,296,063.38 = 4,296,063.38/x
  3. Step 3: Cross multiply
    1,839,298.50x = 4,296,063.38 × 4,296,063.38
  4. Step 4: Simplify right side
    1,839,298.50x = 18,456,160,522,016.39
  5. Step 5: Solve for x
    x = 18,456,160,522,016.39/1,839,298.50
  6. Step 6: Final answer
    x = 10,034,347.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.