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Finding the Third Proportional to 395,264,406 and 858,572,193

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Solution

The third proportional to 395,264,406 and 858,572,193 is: 1,864,944,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,264,406 : 858,572,193 = 858,572,193 : x
  2. Step 2: Convert to fraction form
    395,264,406/858,572,193 = 858,572,193/x
  3. Step 3: Cross multiply
    395,264,406x = 858,572,193 × 858,572,193
  4. Step 4: Simplify right side
    395,264,406x = 737,146,210,592,829,312
  5. Step 5: Solve for x
    x = 737,146,210,592,829,312/395,264,406
  6. Step 6: Final answer
    x = 1,864,944,577.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.