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Finding the Third Proportional to 415,666.69 and 895,429.69

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Solution

The third proportional to 415,666.69 and 895,429.69 is: 1,928,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,666.69 : 895,429.69 = 895,429.69 : x
  2. Step 2: Convert to fraction form
    415,666.69/895,429.69 = 895,429.69/x
  3. Step 3: Cross multiply
    415,666.69x = 895,429.69 × 895,429.69
  4. Step 4: Simplify right side
    415,666.69x = 801,794,325,256.35
  5. Step 5: Solve for x
    x = 801,794,325,256.35/415,666.69
  6. Step 6: Final answer
    x = 1,928,935.73

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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.