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Finding the Third Proportional to 630,348 and 946,167

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Solution

The third proportional to 630,348 and 946,167 is: 1,420,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,348 : 946,167 = 946,167 : x
  2. Step 2: Convert to fraction form
    630,348/946,167 = 946,167/x
  3. Step 3: Cross multiply
    630,348x = 946,167 × 946,167
  4. Step 4: Simplify right side
    630,348x = 895,231,991,889
  5. Step 5: Solve for x
    x = 895,231,991,889/630,348
  6. Step 6: Final answer
    x = 1,420,218.66

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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.