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Finding the Third Proportional to 845,912,706 and 1,293,182,586

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Solution

The third proportional to 845,912,706 and 1,293,182,586 is: 1,976,942,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,912,706 : 1,293,182,586 = 1,293,182,586 : x
  2. Step 2: Convert to fraction form
    845,912,706/1,293,182,586 = 1,293,182,586/x
  3. Step 3: Cross multiply
    845,912,706x = 1,293,182,586 × 1,293,182,586
  4. Step 4: Simplify right side
    845,912,706x = 1,672,321,200,733,647,360
  5. Step 5: Solve for x
    x = 1,672,321,200,733,647,360/845,912,706
  6. Step 6: Final answer
    x = 1,976,942,997.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.