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Finding the Third Proportional to 383,456,598 and 838,657,956

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Solution

The third proportional to 383,456,598 and 838,657,956 is: 1,834,228,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,456,598 : 838,657,956 = 838,657,956 : x
  2. Step 2: Convert to fraction form
    383,456,598/838,657,956 = 838,657,956/x
  3. Step 3: Cross multiply
    383,456,598x = 838,657,956 × 838,657,956
  4. Step 4: Simplify right side
    383,456,598x = 703,347,167,162,097,920
  5. Step 5: Solve for x
    x = 703,347,167,162,097,920/383,456,598
  6. Step 6: Final answer
    x = 1,834,228,882.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.