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Finding the Third Proportional to 787,009 and 1,739,414

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Solution

The third proportional to 787,009 and 1,739,414 is: 3,844,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,009 : 1,739,414 = 1,739,414 : x
  2. Step 2: Convert to fraction form
    787,009/1,739,414 = 1,739,414/x
  3. Step 3: Cross multiply
    787,009x = 1,739,414 × 1,739,414
  4. Step 4: Simplify right side
    787,009x = 3,025,561,063,396
  5. Step 5: Solve for x
    x = 3,025,561,063,396/787,009
  6. Step 6: Final answer
    x = 3,844,379.24

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.