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Finding the Third Proportional to 904,892,212 and 1,383,636,102

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Solution

The third proportional to 904,892,212 and 1,383,636,102 is: 2,115,665,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,892,212 : 1,383,636,102 = 1,383,636,102 : x
  2. Step 2: Convert to fraction form
    904,892,212/1,383,636,102 = 1,383,636,102/x
  3. Step 3: Cross multiply
    904,892,212x = 1,383,636,102 × 1,383,636,102
  4. Step 4: Simplify right side
    904,892,212x = 1,914,448,862,757,754,368
  5. Step 5: Solve for x
    x = 1,914,448,862,757,754,368/904,892,212
  6. Step 6: Final answer
    x = 2,115,665,089.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.