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Finding the Third Proportional to 471,506.91 and 964,802.81

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Solution

The third proportional to 471,506.91 and 964,802.81 is: 1,974,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,506.91 : 964,802.81 = 964,802.81 : x
  2. Step 2: Convert to fraction form
    471,506.91/964,802.81 = 964,802.81/x
  3. Step 3: Cross multiply
    471,506.91x = 964,802.81 × 964,802.81
  4. Step 4: Simplify right side
    471,506.91x = 930,844,467,007.91
  5. Step 5: Solve for x
    x = 930,844,467,007.91/471,506.91
  6. Step 6: Final answer
    x = 1,974,190.53

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.