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Finding the Third Proportional to 646,309.13 and 1,022,923.69

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Solution

The third proportional to 646,309.13 and 1,022,923.69 is: 1,618,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,309.13 : 1,022,923.69 = 1,022,923.69 : x
  2. Step 2: Convert to fraction form
    646,309.13/1,022,923.69 = 1,022,923.69/x
  3. Step 3: Cross multiply
    646,309.13x = 1,022,923.69 × 1,022,923.69
  4. Step 4: Simplify right side
    646,309.13x = 1,046,372,870,448.60
  5. Step 5: Solve for x
    x = 1,046,372,870,448.60/646,309.13
  6. Step 6: Final answer
    x = 1,618,997.52

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.