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Finding the Third Proportional to 673,707.38 and 1,461,844.13

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Solution

The third proportional to 673,707.38 and 1,461,844.13 is: 3,171,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,707.38 : 1,461,844.13 = 1,461,844.13 : x
  2. Step 2: Convert to fraction form
    673,707.38/1,461,844.13 = 1,461,844.13/x
  3. Step 3: Cross multiply
    673,707.38x = 1,461,844.13 × 1,461,844.13
  4. Step 4: Simplify right side
    673,707.38x = 2,136,988,245,797.02
  5. Step 5: Solve for x
    x = 2,136,988,245,797.02/673,707.38
  6. Step 6: Final answer
    x = 3,171,982.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.