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Finding the Third Proportional to 809,706 and 1,742,004

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Solution

The third proportional to 809,706 and 1,742,004 is: 3,747,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,706 : 1,742,004 = 1,742,004 : x
  2. Step 2: Convert to fraction form
    809,706/1,742,004 = 1,742,004/x
  3. Step 3: Cross multiply
    809,706x = 1,742,004 × 1,742,004
  4. Step 4: Simplify right side
    809,706x = 3,034,577,936,016
  5. Step 5: Solve for x
    x = 3,034,577,936,016/809,706
  6. Step 6: Final answer
    x = 3,747,752.81

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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.