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Finding the Third Proportional to 1,476,145.50 and 3,178,686

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Solution

The third proportional to 1,476,145.50 and 3,178,686 is: 6,844,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,145.50 : 3,178,686 = 3,178,686 : x
  2. Step 2: Convert to fraction form
    1,476,145.50/3,178,686 = 3,178,686/x
  3. Step 3: Cross multiply
    1,476,145.50x = 3,178,686 × 3,178,686
  4. Step 4: Simplify right side
    1,476,145.50x = 10,104,044,686,596
  5. Step 5: Solve for x
    x = 10,104,044,686,596/1,476,145.50
  6. Step 6: Final answer
    x = 6,844,883.98

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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.