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Finding the Third Proportional to 656,588,592 and 1,024,633,800

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Solution

The third proportional to 656,588,592 and 1,024,633,800 is: 1,598,983,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,588,592 : 1,024,633,800 = 1,024,633,800 : x
  2. Step 2: Convert to fraction form
    656,588,592/1,024,633,800 = 1,024,633,800/x
  3. Step 3: Cross multiply
    656,588,592x = 1,024,633,800 × 1,024,633,800
  4. Step 4: Simplify right side
    656,588,592x = 1,049,874,424,102,439,936
  5. Step 5: Solve for x
    x = 1,049,874,424,102,439,936/656,588,592
  6. Step 6: Final answer
    x = 1,598,983,651.09

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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.