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Finding the Third Proportional to 536,435,360 and 820,243,936

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Solution

The third proportional to 536,435,360 and 820,243,936 is: 1,254,205,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,435,360 : 820,243,936 = 820,243,936 : x
  2. Step 2: Convert to fraction form
    536,435,360/820,243,936 = 820,243,936/x
  3. Step 3: Cross multiply
    536,435,360x = 820,243,936 × 820,243,936
  4. Step 4: Simplify right side
    536,435,360x = 672,800,114,544,772,096
  5. Step 5: Solve for x
    x = 672,800,114,544,772,096/536,435,360
  6. Step 6: Final answer
    x = 1,254,205,380.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.