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Finding the Third Proportional to 735,993 and 1,079,757

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Solution

The third proportional to 735,993 and 1,079,757 is: 1,584,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,993 : 1,079,757 = 1,079,757 : x
  2. Step 2: Convert to fraction form
    735,993/1,079,757 = 1,079,757/x
  3. Step 3: Cross multiply
    735,993x = 1,079,757 × 1,079,757
  4. Step 4: Simplify right side
    735,993x = 1,165,875,179,049
  5. Step 5: Solve for x
    x = 1,165,875,179,049/735,993
  6. Step 6: Final answer
    x = 1,584,084.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.