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Finding the Third Proportional to 741,134.81 and 1,617,802.88

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Solution

The third proportional to 741,134.81 and 1,617,802.88 is: 3,531,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,134.81 : 1,617,802.88 = 1,617,802.88 : x
  2. Step 2: Convert to fraction form
    741,134.81/1,617,802.88 = 1,617,802.88/x
  3. Step 3: Cross multiply
    741,134.81x = 1,617,802.88 × 1,617,802.88
  4. Step 4: Simplify right side
    741,134.81x = 2,617,286,142,358.27
  5. Step 5: Solve for x
    x = 2,617,286,142,358.27/741,134.81
  6. Step 6: Final answer
    x = 3,531,457.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.