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Finding the Third Proportional to 787,014 and 1,739,424

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Solution

The third proportional to 787,014 and 1,739,424 is: 3,844,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,014 : 1,739,424 = 1,739,424 : x
  2. Step 2: Convert to fraction form
    787,014/1,739,424 = 1,739,424/x
  3. Step 3: Cross multiply
    787,014x = 1,739,424 × 1,739,424
  4. Step 4: Simplify right side
    787,014x = 3,025,595,851,776
  5. Step 5: Solve for x
    x = 3,025,595,851,776/787,014
  6. Step 6: Final answer
    x = 3,844,399.02

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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.