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Finding the Third Proportional to 779,178,402 and 1,714,190,589

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Solution

The third proportional to 779,178,402 and 1,714,190,589 is: 3,771,215,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,178,402 : 1,714,190,589 = 1,714,190,589 : x
  2. Step 2: Convert to fraction form
    779,178,402/1,714,190,589 = 1,714,190,589/x
  3. Step 3: Cross multiply
    779,178,402x = 1,714,190,589 × 1,714,190,589
  4. Step 4: Simplify right side
    779,178,402x = 2,938,449,375,416,166,912
  5. Step 5: Solve for x
    x = 2,938,449,375,416,166,912/779,178,402
  6. Step 6: Final answer
    x = 3,771,215,125.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.