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Finding the Third Proportional to 416,720 and 895,568

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Solution

The third proportional to 416,720 and 895,568 is: 1,924,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,720 : 895,568 = 895,568 : x
  2. Step 2: Convert to fraction form
    416,720/895,568 = 895,568/x
  3. Step 3: Cross multiply
    416,720x = 895,568 × 895,568
  4. Step 4: Simplify right side
    416,720x = 802,042,042,624
  5. Step 5: Solve for x
    x = 802,042,042,624/416,720
  6. Step 6: Final answer
    x = 1,924,654.55

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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.