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Finding the Third Proportional to 686,134,849 and 1,060,192,102

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Solution

The third proportional to 686,134,849 and 1,060,192,102 is: 1,638,172,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,134,849 : 1,060,192,102 = 1,060,192,102 : x
  2. Step 2: Convert to fraction form
    686,134,849/1,060,192,102 = 1,060,192,102/x
  3. Step 3: Cross multiply
    686,134,849x = 1,060,192,102 × 1,060,192,102
  4. Step 4: Simplify right side
    686,134,849x = 1,124,007,293,143,178,368
  5. Step 5: Solve for x
    x = 1,124,007,293,143,178,368/686,134,849
  6. Step 6: Final answer
    x = 1,638,172,576.11

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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.