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Finding the Third Proportional to 423,504 and 930,000

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Solution

The third proportional to 423,504 and 930,000 is: 2,042,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,504 : 930,000 = 930,000 : x
  2. Step 2: Convert to fraction form
    423,504/930,000 = 930,000/x
  3. Step 3: Cross multiply
    423,504x = 930,000 × 930,000
  4. Step 4: Simplify right side
    423,504x = 864,900,000,000
  5. Step 5: Solve for x
    x = 864,900,000,000/423,504
  6. Step 6: Final answer
    x = 2,042,247.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.