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Finding the Third Proportional to 692,973,586 and 1,540,885,147

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Solution

The third proportional to 692,973,586 and 1,540,885,147 is: 3,426,287,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,973,586 : 1,540,885,147 = 1,540,885,147 : x
  2. Step 2: Convert to fraction form
    692,973,586/1,540,885,147 = 1,540,885,147/x
  3. Step 3: Cross multiply
    692,973,586x = 1,540,885,147 × 1,540,885,147
  4. Step 4: Simplify right side
    692,973,586x = 2,374,327,036,245,211,648
  5. Step 5: Solve for x
    x = 2,374,327,036,245,211,648/692,973,586
  6. Step 6: Final answer
    x = 3,426,287,933.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.