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Finding the Third Proportional to 630,144 and 956,866

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Solution

The third proportional to 630,144 and 956,866 is: 1,452,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,144 : 956,866 = 956,866 : x
  2. Step 2: Convert to fraction form
    630,144/956,866 = 956,866/x
  3. Step 3: Cross multiply
    630,144x = 956,866 × 956,866
  4. Step 4: Simplify right side
    630,144x = 915,592,541,956
  5. Step 5: Solve for x
    x = 915,592,541,956/630,144
  6. Step 6: Final answer
    x = 1,452,989.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.