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Finding the Third Proportional to 1,769,540 and 3,870,248

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Solution

The third proportional to 1,769,540 and 3,870,248 is: 8,464,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,540 : 3,870,248 = 3,870,248 : x
  2. Step 2: Convert to fraction form
    1,769,540/3,870,248 = 3,870,248/x
  3. Step 3: Cross multiply
    1,769,540x = 3,870,248 × 3,870,248
  4. Step 4: Simplify right side
    1,769,540x = 14,978,819,581,504
  5. Step 5: Solve for x
    x = 14,978,819,581,504/1,769,540
  6. Step 6: Final answer
    x = 8,464,809.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.