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Finding the Third Proportional to 606,492,420.75 and 866,691,704.25

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Solution

The third proportional to 606,492,420.75 and 866,691,704.25 is: 1,238,522,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,492,420.75 : 866,691,704.25 = 866,691,704.25 : x
  2. Step 2: Convert to fraction form
    606,492,420.75/866,691,704.25 = 866,691,704.25/x
  3. Step 3: Cross multiply
    606,492,420.75x = 866,691,704.25 × 866,691,704.25
  4. Step 4: Simplify right side
    606,492,420.75x = 751,154,510,215,769,472
  5. Step 5: Solve for x
    x = 751,154,510,215,769,472/606,492,420.75
  6. Step 6: Final answer
    x = 1,238,522,501.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.