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Finding the Third Proportional to 583,156,622 and 1,285,179,124

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Solution

The third proportional to 583,156,622 and 1,285,179,124 is: 2,832,318,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,156,622 : 1,285,179,124 = 1,285,179,124 : x
  2. Step 2: Convert to fraction form
    583,156,622/1,285,179,124 = 1,285,179,124/x
  3. Step 3: Cross multiply
    583,156,622x = 1,285,179,124 × 1,285,179,124
  4. Step 4: Simplify right side
    583,156,622x = 1,651,685,380,765,407,488
  5. Step 5: Solve for x
    x = 1,651,685,380,765,407,488/583,156,622
  6. Step 6: Final answer
    x = 2,832,318,657.55

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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.