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Finding the Third Proportional to 491,593,413 and 1,053,305,826

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Solution

The third proportional to 491,593,413 and 1,053,305,826 is: 2,256,851,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,593,413 : 1,053,305,826 = 1,053,305,826 : x
  2. Step 2: Convert to fraction form
    491,593,413/1,053,305,826 = 1,053,305,826/x
  3. Step 3: Cross multiply
    491,593,413x = 1,053,305,826 × 1,053,305,826
  4. Step 4: Simplify right side
    491,593,413x = 1,109,453,163,085,542,272
  5. Step 5: Solve for x
    x = 1,109,453,163,085,542,272/491,593,413
  6. Step 6: Final answer
    x = 2,256,851,157.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.