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Finding the Third Proportional to 523,484,736 and 1,134,212,208

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Solution

The third proportional to 523,484,736 and 1,134,212,208 is: 2,457,449,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,484,736 : 1,134,212,208 = 1,134,212,208 : x
  2. Step 2: Convert to fraction form
    523,484,736/1,134,212,208 = 1,134,212,208/x
  3. Step 3: Cross multiply
    523,484,736x = 1,134,212,208 × 1,134,212,208
  4. Step 4: Simplify right side
    523,484,736x = 1,286,437,332,776,235,264
  5. Step 5: Solve for x
    x = 1,286,437,332,776,235,264/523,484,736
  6. Step 6: Final answer
    x = 2,457,449,557.38

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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.