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Finding the Third Proportional to 527,178,692 and 1,097,991,642

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Solution

The third proportional to 527,178,692 and 1,097,991,642 is: 2,286,863,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,178,692 : 1,097,991,642 = 1,097,991,642 : x
  2. Step 2: Convert to fraction form
    527,178,692/1,097,991,642 = 1,097,991,642/x
  3. Step 3: Cross multiply
    527,178,692x = 1,097,991,642 × 1,097,991,642
  4. Step 4: Simplify right side
    527,178,692x = 1,205,585,645,901,856,256
  5. Step 5: Solve for x
    x = 1,205,585,645,901,856,256/527,178,692
  6. Step 6: Final answer
    x = 2,286,863,380.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.