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Finding the Third Proportional to 630,268 and 945,870

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Solution

The third proportional to 630,268 and 945,870 is: 1,419,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,268 : 945,870 = 945,870 : x
  2. Step 2: Convert to fraction form
    630,268/945,870 = 945,870/x
  3. Step 3: Cross multiply
    630,268x = 945,870 × 945,870
  4. Step 4: Simplify right side
    630,268x = 894,670,056,900
  5. Step 5: Solve for x
    x = 894,670,056,900/630,268
  6. Step 6: Final answer
    x = 1,419,507.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.