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Finding the Third Proportional to 3,912,834.09 and 5,406,798.09

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Solution

The third proportional to 3,912,834.09 and 5,406,798.09 is: 7,471,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,834.09 : 5,406,798.09 = 5,406,798.09 : x
  2. Step 2: Convert to fraction form
    3,912,834.09/5,406,798.09 = 5,406,798.09/x
  3. Step 3: Cross multiply
    3,912,834.09x = 5,406,798.09 × 5,406,798.09
  4. Step 4: Simplify right side
    3,912,834.09x = 29,233,465,626,578.63
  5. Step 5: Solve for x
    x = 29,233,465,626,578.63/3,912,834.09
  6. Step 6: Final answer
    x = 7,471,174.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.