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Finding the Third Proportional to 456,205,126 and 659,137,769

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Solution

The third proportional to 456,205,126 and 659,137,769 is: 952,340,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205,126 : 659,137,769 = 659,137,769 : x
  2. Step 2: Convert to fraction form
    456,205,126/659,137,769 = 659,137,769/x
  3. Step 3: Cross multiply
    456,205,126x = 659,137,769 × 659,137,769
  4. Step 4: Simplify right side
    456,205,126x = 434,462,598,522,297,344
  5. Step 5: Solve for x
    x = 434,462,598,522,297,344/456,205,126
  6. Step 6: Final answer
    x = 952,340,457.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.