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Finding the Third Proportional to 527,860,395 and 1,159,775,334

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Solution

The third proportional to 527,860,395 and 1,159,775,334 is: 2,548,171,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,860,395 : 1,159,775,334 = 1,159,775,334 : x
  2. Step 2: Convert to fraction form
    527,860,395/1,159,775,334 = 1,159,775,334/x
  3. Step 3: Cross multiply
    527,860,395x = 1,159,775,334 × 1,159,775,334
  4. Step 4: Simplify right side
    527,860,395x = 1,345,078,825,354,811,648
  5. Step 5: Solve for x
    x = 1,345,078,825,354,811,648/527,860,395
  6. Step 6: Final answer
    x = 2,548,171,520.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.