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Finding the Third Proportional to 655,096.13 and 1,388,924.25

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Solution

The third proportional to 655,096.13 and 1,388,924.25 is: 2,944,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,096.13 : 1,388,924.25 = 1,388,924.25 : x
  2. Step 2: Convert to fraction form
    655,096.13/1,388,924.25 = 1,388,924.25/x
  3. Step 3: Cross multiply
    655,096.13x = 1,388,924.25 × 1,388,924.25
  4. Step 4: Simplify right side
    655,096.13x = 1,929,110,572,238.06
  5. Step 5: Solve for x
    x = 1,929,110,572,238.06/655,096.13
  6. Step 6: Final answer
    x = 2,944,774.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.