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Finding the Third Proportional to 1,079,831,188 and 1,612,670,743

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Solution

The third proportional to 1,079,831,188 and 1,612,670,743 is: 2,408,438,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,831,188 : 1,612,670,743 = 1,612,670,743 : x
  2. Step 2: Convert to fraction form
    1,079,831,188/1,612,670,743 = 1,612,670,743/x
  3. Step 3: Cross multiply
    1,079,831,188x = 1,612,670,743 × 1,612,670,743
  4. Step 4: Simplify right side
    1,079,831,188x = 2,600,706,925,328,172,032
  5. Step 5: Solve for x
    x = 2,600,706,925,328,172,032/1,079,831,188
  6. Step 6: Final answer
    x = 2,408,438,424.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.