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Finding the Third Proportional to 534,590,820 and 850,647,576

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Solution

The third proportional to 534,590,820 and 850,647,576 is: 1,353,561,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,590,820 : 850,647,576 = 850,647,576 : x
  2. Step 2: Convert to fraction form
    534,590,820/850,647,576 = 850,647,576/x
  3. Step 3: Cross multiply
    534,590,820x = 850,647,576 × 850,647,576
  4. Step 4: Simplify right side
    534,590,820x = 723,601,298,554,675,712
  5. Step 5: Solve for x
    x = 723,601,298,554,675,712/534,590,820
  6. Step 6: Final answer
    x = 1,353,561,025.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.