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Finding the Third Proportional to 719,278 and 1,073,992

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Solution

The third proportional to 719,278 and 1,073,992 is: 1,603,634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,278 : 1,073,992 = 1,073,992 : x
  2. Step 2: Convert to fraction form
    719,278/1,073,992 = 1,073,992/x
  3. Step 3: Cross multiply
    719,278x = 1,073,992 × 1,073,992
  4. Step 4: Simplify right side
    719,278x = 1,153,458,816,064
  5. Step 5: Solve for x
    x = 1,153,458,816,064/719,278
  6. Step 6: Final answer
    x = 1,603,634.22

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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.