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Finding the Third Proportional to 609,161 and 946,964

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Solution

The third proportional to 609,161 and 946,964 is: 1,472,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,161 : 946,964 = 946,964 : x
  2. Step 2: Convert to fraction form
    609,161/946,964 = 946,964/x
  3. Step 3: Cross multiply
    609,161x = 946,964 × 946,964
  4. Step 4: Simplify right side
    609,161x = 896,740,817,296
  5. Step 5: Solve for x
    x = 896,740,817,296/609,161
  6. Step 6: Final answer
    x = 1,472,091.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.