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Finding the Third Proportional to 630,234 and 945,810

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Solution

The third proportional to 630,234 and 945,810 is: 1,419,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,234 : 945,810 = 945,810 : x
  2. Step 2: Convert to fraction form
    630,234/945,810 = 945,810/x
  3. Step 3: Cross multiply
    630,234x = 945,810 × 945,810
  4. Step 4: Simplify right side
    630,234x = 894,556,556,100
  5. Step 5: Solve for x
    x = 894,556,556,100/630,234
  6. Step 6: Final answer
    x = 1,419,403.83

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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.