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Finding the Third Proportional to 709,039 and 1,033,090

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Solution

The third proportional to 709,039 and 1,033,090 is: 1,505,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,039 : 1,033,090 = 1,033,090 : x
  2. Step 2: Convert to fraction form
    709,039/1,033,090 = 1,033,090/x
  3. Step 3: Cross multiply
    709,039x = 1,033,090 × 1,033,090
  4. Step 4: Simplify right side
    709,039x = 1,067,274,948,100
  5. Step 5: Solve for x
    x = 1,067,274,948,100/709,039
  6. Step 6: Final answer
    x = 1,505,241.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.