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Finding the Third Proportional to 415,638 and 895,395.94

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Solution

The third proportional to 415,638 and 895,395.94 is: 1,928,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638 : 895,395.94 = 895,395.94 : x
  2. Step 2: Convert to fraction form
    415,638/895,395.94 = 895,395.94/x
  3. Step 3: Cross multiply
    415,638x = 895,395.94 × 895,395.94
  4. Step 4: Simplify right side
    415,638x = 801,733,884,891.50
  5. Step 5: Solve for x
    x = 801,733,884,891.50/415,638
  6. Step 6: Final answer
    x = 1,928,923.45

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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.