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Finding the Third Proportional to 656,588,583 and 1,024,633,793.25

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Solution

The third proportional to 656,588,583 and 1,024,633,793.25 is: 1,598,983,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,588,583 : 1,024,633,793.25 = 1,024,633,793.25 : x
  2. Step 2: Convert to fraction form
    656,588,583/1,024,633,793.25 = 1,024,633,793.25/x
  3. Step 3: Cross multiply
    656,588,583x = 1,024,633,793.25 × 1,024,633,793.25
  4. Step 4: Simplify right side
    656,588,583x = 1,049,874,410,269,883,776
  5. Step 5: Solve for x
    x = 1,049,874,410,269,883,776/656,588,583
  6. Step 6: Final answer
    x = 1,598,983,651.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.