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Finding the Third Proportional to 423,571 and 930,086

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Solution

The third proportional to 423,571 and 930,086 is: 2,042,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,571 : 930,086 = 930,086 : x
  2. Step 2: Convert to fraction form
    423,571/930,086 = 930,086/x
  3. Step 3: Cross multiply
    423,571x = 930,086 × 930,086
  4. Step 4: Simplify right side
    423,571x = 865,059,967,396
  5. Step 5: Solve for x
    x = 865,059,967,396/423,571
  6. Step 6: Final answer
    x = 2,042,302.16

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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.