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Finding the Third Proportional to 735,012 and 1,106,793

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Solution

The third proportional to 735,012 and 1,106,793 is: 1,666,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,012 : 1,106,793 = 1,106,793 : x
  2. Step 2: Convert to fraction form
    735,012/1,106,793 = 1,106,793/x
  3. Step 3: Cross multiply
    735,012x = 1,106,793 × 1,106,793
  4. Step 4: Simplify right side
    735,012x = 1,224,990,744,849
  5. Step 5: Solve for x
    x = 1,224,990,744,849/735,012
  6. Step 6: Final answer
    x = 1,666,626.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.