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Finding the Third Proportional to 1,540,918.69 and 2,395,306.69

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Solution

The third proportional to 1,540,918.69 and 2,395,306.69 is: 3,723,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,918.69 : 2,395,306.69 = 2,395,306.69 : x
  2. Step 2: Convert to fraction form
    1,540,918.69/2,395,306.69 = 2,395,306.69/x
  3. Step 3: Cross multiply
    1,540,918.69x = 2,395,306.69 × 2,395,306.69
  4. Step 4: Simplify right side
    1,540,918.69x = 5,737,494,127,182.22
  5. Step 5: Solve for x
    x = 5,737,494,127,182.22/1,540,918.69
  6. Step 6: Final answer
    x = 3,723,424.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.