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Finding the Third Proportional to 809,707 and 1,742,006

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Solution

The third proportional to 809,707 and 1,742,006 is: 3,747,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,707 : 1,742,006 = 1,742,006 : x
  2. Step 2: Convert to fraction form
    809,707/1,742,006 = 1,742,006/x
  3. Step 3: Cross multiply
    809,707x = 1,742,006 × 1,742,006
  4. Step 4: Simplify right side
    809,707x = 3,034,584,904,036
  5. Step 5: Solve for x
    x = 3,034,584,904,036/809,707
  6. Step 6: Final answer
    x = 3,747,756.79

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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.