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Finding the Third Proportional to 686,134,851 and 1,060,192,105

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Solution

The third proportional to 686,134,851 and 1,060,192,105 is: 1,638,172,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,134,851 : 1,060,192,105 = 1,060,192,105 : x
  2. Step 2: Convert to fraction form
    686,134,851/1,060,192,105 = 1,060,192,105/x
  3. Step 3: Cross multiply
    686,134,851x = 1,060,192,105 × 1,060,192,105
  4. Step 4: Simplify right side
    686,134,851x = 1,124,007,299,504,331,008
  5. Step 5: Solve for x
    x = 1,124,007,299,504,331,008/686,134,851
  6. Step 6: Final answer
    x = 1,638,172,580.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.