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Finding the Third Proportional to 543,256,914 and 1,176,764,355

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Solution

The third proportional to 543,256,914 and 1,176,764,355 is: 2,549,022,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,256,914 : 1,176,764,355 = 1,176,764,355 : x
  2. Step 2: Convert to fraction form
    543,256,914/1,176,764,355 = 1,176,764,355/x
  3. Step 3: Cross multiply
    543,256,914x = 1,176,764,355 × 1,176,764,355
  4. Step 4: Simplify right side
    543,256,914x = 1,384,774,347,198,566,144
  5. Step 5: Solve for x
    x = 1,384,774,347,198,566,144/543,256,914
  6. Step 6: Final answer
    x = 2,549,022,960.43

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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.