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Finding the Third Proportional to 655,309,326 and 1,407,869,790

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Solution

The third proportional to 655,309,326 and 1,407,869,790 is: 3,024,674,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,309,326 : 1,407,869,790 = 1,407,869,790 : x
  2. Step 2: Convert to fraction form
    655,309,326/1,407,869,790 = 1,407,869,790/x
  3. Step 3: Cross multiply
    655,309,326x = 1,407,869,790 × 1,407,869,790
  4. Step 4: Simplify right side
    655,309,326x = 1,982,097,345,594,644,224
  5. Step 5: Solve for x
    x = 1,982,097,345,594,644,224/655,309,326
  6. Step 6: Final answer
    x = 3,024,674,404.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.