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Finding the Third Proportional to 523,485,672 and 1,134,213,864

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Solution

The third proportional to 523,485,672 and 1,134,213,864 is: 2,457,452,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,485,672 : 1,134,213,864 = 1,134,213,864 : x
  2. Step 2: Convert to fraction form
    523,485,672/1,134,213,864 = 1,134,213,864/x
  3. Step 3: Cross multiply
    523,485,672x = 1,134,213,864 × 1,134,213,864
  4. Step 4: Simplify right side
    523,485,672x = 1,286,441,089,289,810,432
  5. Step 5: Solve for x
    x = 1,286,441,089,289,810,432/523,485,672
  6. Step 6: Final answer
    x = 2,457,452,339.38

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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.