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Finding the Third Proportional to 526,378,140 and 1,140,530,844

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Solution

The third proportional to 526,378,140 and 1,140,530,844 is: 2,471,247,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,378,140 : 1,140,530,844 = 1,140,530,844 : x
  2. Step 2: Convert to fraction form
    526,378,140/1,140,530,844 = 1,140,530,844/x
  3. Step 3: Cross multiply
    526,378,140x = 1,140,530,844 × 1,140,530,844
  4. Step 4: Simplify right side
    526,378,140x = 1,300,810,606,115,352,320
  5. Step 5: Solve for x
    x = 1,300,810,606,115,352,320/526,378,140
  6. Step 6: Final answer
    x = 2,471,247,392.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.