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Finding the Third Proportional to 526,380,573 and 1,140,535,422

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Solution

The third proportional to 526,380,573 and 1,140,535,422 is: 2,471,255,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,380,573 : 1,140,535,422 = 1,140,535,422 : x
  2. Step 2: Convert to fraction form
    526,380,573/1,140,535,422 = 1,140,535,422/x
  3. Step 3: Cross multiply
    526,380,573x = 1,140,535,422 × 1,140,535,422
  4. Step 4: Simplify right side
    526,380,573x = 1,300,821,048,836,718,080
  5. Step 5: Solve for x
    x = 1,300,821,048,836,718,080/526,380,573
  6. Step 6: Final answer
    x = 2,471,255,809.12

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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.