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Finding the Third Proportional to 630,172 and 941,138

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Solution

The third proportional to 630,172 and 941,138 is: 1,405,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,172 : 941,138 = 941,138 : x
  2. Step 2: Convert to fraction form
    630,172/941,138 = 941,138/x
  3. Step 3: Cross multiply
    630,172x = 941,138 × 941,138
  4. Step 4: Simplify right side
    630,172x = 885,740,735,044
  5. Step 5: Solve for x
    x = 885,740,735,044/630,172
  6. Step 6: Final answer
    x = 1,405,553.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.