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Finding the Third Proportional to 467,294.70 and 1,021,078.41

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Solution

The third proportional to 467,294.70 and 1,021,078.41 is: 2,231,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,294.70 : 1,021,078.41 = 1,021,078.41 : x
  2. Step 2: Convert to fraction form
    467,294.70/1,021,078.41 = 1,021,078.41/x
  3. Step 3: Cross multiply
    467,294.70x = 1,021,078.41 × 1,021,078.41
  4. Step 4: Simplify right side
    467,294.70x = 1,042,601,111,710.04
  5. Step 5: Solve for x
    x = 1,042,601,111,710.04/467,294.70
  6. Step 6: Final answer
    x = 2,231,142.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.