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Finding the Third Proportional to 1,665,309.38 and 3,461,519.81

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Solution

The third proportional to 1,665,309.38 and 3,461,519.81 is: 7,195,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,309.38 : 3,461,519.81 = 3,461,519.81 : x
  2. Step 2: Convert to fraction form
    1,665,309.38/3,461,519.81 = 3,461,519.81/x
  3. Step 3: Cross multiply
    1,665,309.38x = 3,461,519.81 × 3,461,519.81
  4. Step 4: Simplify right side
    1,665,309.38x = 11,982,119,412,330.04
  5. Step 5: Solve for x
    x = 11,982,119,412,330.04/1,665,309.38
  6. Step 6: Final answer
    x = 7,195,131.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.