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Finding the Third Proportional to 491,489,436 and 1,055,917,248

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Solution

The third proportional to 491,489,436 and 1,055,917,248 is: 2,268,535,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489,436 : 1,055,917,248 = 1,055,917,248 : x
  2. Step 2: Convert to fraction form
    491,489,436/1,055,917,248 = 1,055,917,248/x
  3. Step 3: Cross multiply
    491,489,436x = 1,055,917,248 × 1,055,917,248
  4. Step 4: Simplify right side
    491,489,436x = 1,114,961,234,623,893,504
  5. Step 5: Solve for x
    x = 1,114,961,234,623,893,504/491,489,436
  6. Step 6: Final answer
    x = 2,268,535,502.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.