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Finding the Third Proportional to 526,796,807 and 1,134,505,486

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Solution

The third proportional to 526,796,807 and 1,134,505,486 is: 2,443,262,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,796,807 : 1,134,505,486 = 1,134,505,486 : x
  2. Step 2: Convert to fraction form
    526,796,807/1,134,505,486 = 1,134,505,486/x
  3. Step 3: Cross multiply
    526,796,807x = 1,134,505,486 × 1,134,505,486
  4. Step 4: Simplify right side
    526,796,807x = 1,287,102,697,764,096,256
  5. Step 5: Solve for x
    x = 1,287,102,697,764,096,256/526,796,807
  6. Step 6: Final answer
    x = 2,443,262,147.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.