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Finding the Third Proportional to 526,796,805 and 1,134,505,482

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Solution

The third proportional to 526,796,805 and 1,134,505,482 is: 2,443,262,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,796,805 : 1,134,505,482 = 1,134,505,482 : x
  2. Step 2: Convert to fraction form
    526,796,805/1,134,505,482 = 1,134,505,482/x
  3. Step 3: Cross multiply
    526,796,805x = 1,134,505,482 × 1,134,505,482
  4. Step 4: Simplify right side
    526,796,805x = 1,287,102,688,688,052,224
  5. Step 5: Solve for x
    x = 1,287,102,688,688,052,224/526,796,805
  6. Step 6: Final answer
    x = 2,443,262,139.16

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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.