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Finding the Third Proportional to 691,022,498 and 1,059,629,979

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Solution

The third proportional to 691,022,498 and 1,059,629,979 is: 1,624,861,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,022,498 : 1,059,629,979 = 1,059,629,979 : x
  2. Step 2: Convert to fraction form
    691,022,498/1,059,629,979 = 1,059,629,979/x
  3. Step 3: Cross multiply
    691,022,498x = 1,059,629,979 × 1,059,629,979
  4. Step 4: Simplify right side
    691,022,498x = 1,122,815,692,395,540,480
  5. Step 5: Solve for x
    x = 1,122,815,692,395,540,480/691,022,498
  6. Step 6: Final answer
    x = 1,624,861,268.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.