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Finding the Third Proportional to 416,415.94 and 895,996.69

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Solution

The third proportional to 416,415.94 and 895,996.69 is: 1,927,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,415.94 : 895,996.69 = 895,996.69 : x
  2. Step 2: Convert to fraction form
    416,415.94/895,996.69 = 895,996.69/x
  3. Step 3: Cross multiply
    416,415.94x = 895,996.69 × 895,996.69
  4. Step 4: Simplify right side
    416,415.94x = 802,810,064,010.97
  5. Step 5: Solve for x
    x = 802,810,064,010.97/416,415.94
  6. Step 6: Final answer
    x = 1,927,904.27

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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.