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Finding the Third Proportional to 534,672,173 and 850,768,518

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Solution

The third proportional to 534,672,173 and 850,768,518 is: 1,353,739,932.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,173 : 850,768,518 = 850,768,518 : x
  2. Step 2: Convert to fraction form
    534,672,173/850,768,518 = 850,768,518/x
  3. Step 3: Cross multiply
    534,672,173x = 850,768,518 × 850,768,518
  4. Step 4: Simplify right side
    534,672,173x = 723,807,071,219,916,288
  5. Step 5: Solve for x
    x = 723,807,071,219,916,288/534,672,173
  6. Step 6: Final answer
    x = 1,353,739,932.19

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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.