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Finding the Third Proportional to 686,134,844 and 1,060,192,094

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Solution

The third proportional to 686,134,844 and 1,060,192,094 is: 1,638,172,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,134,844 : 1,060,192,094 = 1,060,192,094 : x
  2. Step 2: Convert to fraction form
    686,134,844/1,060,192,094 = 1,060,192,094/x
  3. Step 3: Cross multiply
    686,134,844x = 1,060,192,094 × 1,060,192,094
  4. Step 4: Simplify right side
    686,134,844x = 1,124,007,276,180,104,832
  5. Step 5: Solve for x
    x = 1,124,007,276,180,104,832/686,134,844
  6. Step 6: Final answer
    x = 1,638,172,563.32

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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.