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Finding the Third Proportional to 405,532,452 and 832,563,204

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Solution

The third proportional to 405,532,452 and 832,563,204 is: 1,709,262,687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,532,452 : 832,563,204 = 832,563,204 : x
  2. Step 2: Convert to fraction form
    405,532,452/832,563,204 = 832,563,204/x
  3. Step 3: Cross multiply
    405,532,452x = 832,563,204 × 832,563,204
  4. Step 4: Simplify right side
    405,532,452x = 693,161,488,654,745,600
  5. Step 5: Solve for x
    x = 693,161,488,654,745,600/405,532,452
  6. Step 6: Final answer
    x = 1,709,262,687.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.