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Finding the Third Proportional to 709,509 and 1,523,994

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Solution

The third proportional to 709,509 and 1,523,994 is: 3,273,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,509 : 1,523,994 = 1,523,994 : x
  2. Step 2: Convert to fraction form
    709,509/1,523,994 = 1,523,994/x
  3. Step 3: Cross multiply
    709,509x = 1,523,994 × 1,523,994
  4. Step 4: Simplify right side
    709,509x = 2,322,557,712,036
  5. Step 5: Solve for x
    x = 2,322,557,712,036/709,509
  6. Step 6: Final answer
    x = 3,273,471.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.