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Finding the Third Proportional to 686,134,846 and 1,060,192,097

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Solution

The third proportional to 686,134,846 and 1,060,192,097 is: 1,638,172,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,134,846 : 1,060,192,097 = 1,060,192,097 : x
  2. Step 2: Convert to fraction form
    686,134,846/1,060,192,097 = 1,060,192,097/x
  3. Step 3: Cross multiply
    686,134,846x = 1,060,192,097 × 1,060,192,097
  4. Step 4: Simplify right side
    686,134,846x = 1,124,007,282,541,257,472
  5. Step 5: Solve for x
    x = 1,124,007,282,541,257,472/686,134,846
  6. Step 6: Final answer
    x = 1,638,172,567.82

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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.