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Finding the Third Proportional to 701,123 and 1,531,942

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Solution

The third proportional to 701,123 and 1,531,942 is: 3,347,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,123 : 1,531,942 = 1,531,942 : x
  2. Step 2: Convert to fraction form
    701,123/1,531,942 = 1,531,942/x
  3. Step 3: Cross multiply
    701,123x = 1,531,942 × 1,531,942
  4. Step 4: Simplify right side
    701,123x = 2,346,846,291,364
  5. Step 5: Solve for x
    x = 2,346,846,291,364/701,123
  6. Step 6: Final answer
    x = 3,347,267.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.