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Finding the Third Proportional to 630,282 and 945,879

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Solution

The third proportional to 630,282 and 945,879 is: 1,419,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,282 : 945,879 = 945,879 : x
  2. Step 2: Convert to fraction form
    630,282/945,879 = 945,879/x
  3. Step 3: Cross multiply
    630,282x = 945,879 × 945,879
  4. Step 4: Simplify right side
    630,282x = 894,687,082,641
  5. Step 5: Solve for x
    x = 894,687,082,641/630,282
  6. Step 6: Final answer
    x = 1,419,502.83

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Why These Related Problems?

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