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Finding the Third Proportional to 2,596,079.25 and 5,690,349

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Solution

The third proportional to 2,596,079.25 and 5,690,349 is: 12,472,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,079.25 : 5,690,349 = 5,690,349 : x
  2. Step 2: Convert to fraction form
    2,596,079.25/5,690,349 = 5,690,349/x
  3. Step 3: Cross multiply
    2,596,079.25x = 5,690,349 × 5,690,349
  4. Step 4: Simplify right side
    2,596,079.25x = 32,380,071,741,801
  5. Step 5: Solve for x
    x = 32,380,071,741,801/2,596,079.25
  6. Step 6: Final answer
    x = 12,472,682.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.