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Finding the Third Proportional to 829,226.25 and 1,742,004

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Solution

The third proportional to 829,226.25 and 1,742,004 is: 3,659,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,226.25 : 1,742,004 = 1,742,004 : x
  2. Step 2: Convert to fraction form
    829,226.25/1,742,004 = 1,742,004/x
  3. Step 3: Cross multiply
    829,226.25x = 1,742,004 × 1,742,004
  4. Step 4: Simplify right side
    829,226.25x = 3,034,577,936,016
  5. Step 5: Solve for x
    x = 3,034,577,936,016/829,226.25
  6. Step 6: Final answer
    x = 3,659,529.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.