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Finding the Third Proportional to 691,930 and 1,504,964

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Solution

The third proportional to 691,930 and 1,504,964 is: 3,273,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,930 : 1,504,964 = 1,504,964 : x
  2. Step 2: Convert to fraction form
    691,930/1,504,964 = 1,504,964/x
  3. Step 3: Cross multiply
    691,930x = 1,504,964 × 1,504,964
  4. Step 4: Simplify right side
    691,930x = 2,264,916,641,296
  5. Step 5: Solve for x
    x = 2,264,916,641,296/691,930
  6. Step 6: Final answer
    x = 3,273,332.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.