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Finding the Third Proportional to 1,251,373,706 and 1,704,157,393

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Solution

The third proportional to 1,251,373,706 and 1,704,157,393 is: 2,320,771,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251,373,706 : 1,704,157,393 = 1,704,157,393 : x
  2. Step 2: Convert to fraction form
    1,251,373,706/1,704,157,393 = 1,704,157,393/x
  3. Step 3: Cross multiply
    1,251,373,706x = 1,704,157,393 × 1,704,157,393
  4. Step 4: Simplify right side
    1,251,373,706x = 2,904,152,420,116,556,288
  5. Step 5: Solve for x
    x = 2,904,152,420,116,556,288/1,251,373,706
  6. Step 6: Final answer
    x = 2,320,771,489.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.