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Finding the Third Proportional to 601,633.13 and 1,337,752.13

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Solution

The third proportional to 601,633.13 and 1,337,752.13 is: 2,974,538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,633.13 : 1,337,752.13 = 1,337,752.13 : x
  2. Step 2: Convert to fraction form
    601,633.13/1,337,752.13 = 1,337,752.13/x
  3. Step 3: Cross multiply
    601,633.13x = 1,337,752.13 × 1,337,752.13
  4. Step 4: Simplify right side
    601,633.13x = 1,789,580,747,942.02
  5. Step 5: Solve for x
    x = 1,789,580,747,942.02/601,633.13
  6. Step 6: Final answer
    x = 2,974,538.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.