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Finding the Third Proportional to 604,192,401 and 932,978,794.50

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Solution

The third proportional to 604,192,401 and 932,978,794.50 is: 1,440,682,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,192,401 : 932,978,794.50 = 932,978,794.50 : x
  2. Step 2: Convert to fraction form
    604,192,401/932,978,794.50 = 932,978,794.50/x
  3. Step 3: Cross multiply
    604,192,401x = 932,978,794.50 × 932,978,794.50
  4. Step 4: Simplify right side
    604,192,401x = 870,449,430,986,673,280
  5. Step 5: Solve for x
    x = 870,449,430,986,673,280/604,192,401
  6. Step 6: Final answer
    x = 1,440,682,520.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.