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Finding the Third Proportional to 780,399,586 and 1,062,951,999

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Solution

The third proportional to 780,399,586 and 1,062,951,999 is: 1,447,805,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,399,586 : 1,062,951,999 = 1,062,951,999 : x
  2. Step 2: Convert to fraction form
    780,399,586/1,062,951,999 = 1,062,951,999/x
  3. Step 3: Cross multiply
    780,399,586x = 1,062,951,999 × 1,062,951,999
  4. Step 4: Simplify right side
    780,399,586x = 1,129,866,952,178,096,000
  5. Step 5: Solve for x
    x = 1,129,866,952,178,096,000/780,399,586
  6. Step 6: Final answer
    x = 1,447,805,678.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.