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Finding the Third Proportional to 702,837,020.25 and 1,028,383,553.25

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Solution

The third proportional to 702,837,020.25 and 1,028,383,553.25 is: 1,504,719,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,837,020.25 : 1,028,383,553.25 = 1,028,383,553.25 : x
  2. Step 2: Convert to fraction form
    702,837,020.25/1,028,383,553.25 = 1,028,383,553.25/x
  3. Step 3: Cross multiply
    702,837,020.25x = 1,028,383,553.25 × 1,028,383,553.25
  4. Step 4: Simplify right side
    702,837,020.25x = 1,057,572,732,595,095,552
  5. Step 5: Solve for x
    x = 1,057,572,732,595,095,552/702,837,020.25
  6. Step 6: Final answer
    x = 1,504,719,731.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.